Publication Information

{'id': 'https://openalex.org/W2254060220', 'doi': 'https://doi.org/10.1215/21562261-2017-0033', 'title': 'Homological dimensions of rigid modules', 'display_name': 'Homological dimensions of rigid modules', 'publication_year': 2018, 'publication_date': '2018-06-19', 'ids': {'openalex': 'https://openalex.org/W2254060220', 'doi': 'https://doi.org/10.1215/21562261-2017-0033', 'mag': '2254060220'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1215/21562261-2017-0033', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2360835', 'display_name': 'Kyoto journal of mathematics', 'issn_l': '2156-2261', 'issn': ['2156-2261', '2154-3321'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315698', 'host_organization_name': 'Duke University Press', 'host_organization_lineage': ['https://openalex.org/P4310315572', 'https://openalex.org/P4310315698'], 'host_organization_lineage_names': ['Duke University', 'Duke University Press'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'http://arxiv.org/pdf/1405.5188', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5109400708', 'display_name': 'Majid Rahro Zargar', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Majid Rahro Zargar', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5044619111', 'display_name': 'Olgur Celikbas', 'orcid': 'https://orcid.org/0000-0002-5306-7589'}, 'institutions': [{'id': 'https://openalex.org/I140172145', 'display_name': 'University of Connecticut', 'ror': 'https://ror.org/02der9h97', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I140172145']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Olgur Celikbas', 'raw_affiliation_strings': ['Olgur Celikbas , Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA'], 'affiliations': [{'raw_affiliation_string': 'Olgur Celikbas , Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA', 'institution_ids': ['https://openalex.org/I140172145']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5031649529', 'display_name': 'Mohsen Gheibi', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I140172145', 'display_name': 'University of Connecticut', 'ror': 'https://ror.org/02der9h97', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I140172145']}, {'id': 'https://openalex.org/I114395901', 'display_name': 'University of Nebraska–Lincoln', 'ror': 'https://ror.org/043mer456', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I114395901']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Mohsen Gheibi', 'raw_affiliation_strings': ['Department of Mathematics, University of Nebraska-Lincoln, Lin-coln, NE 68588, USA', 'Olgur Celikbas , Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA'], 'affiliations': [{'raw_affiliation_string': 'Olgur Celikbas , Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA', 'institution_ids': ['https://openalex.org/I140172145']}, {'raw_affiliation_string': 'Department of Mathematics, University of Nebraska-Lincoln, Lin-coln, NE 68588, USA', 'institution_ids': ['https://openalex.org/I114395901']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5055468006', 'display_name': 'Arash Sadeghi', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210146419', 'display_name': 'Institute for Research in Fundamental Sciences', 'ror': 'https://ror.org/04xreqs31', 'country_code': 'IR', 'type': 'facility', 'lineage': ['https://openalex.org/I4210146419']}, {'id': 'https://openalex.org/I140172145', 'display_name': 'University of Connecticut', 'ror': 'https://ror.org/02der9h97', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I140172145']}], 'countries': ['IR', 'US'], 'is_corresponding': False, 'raw_author_name': 'Arash Sadeghi', 'raw_affiliation_strings': ['Olgur Celikbas , Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA', 'School of Mathematics, Institute for Research in Fundamental Sci-ences (IPM), P.O. Box: 19395-5746, Tehran, Iran.'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics, Institute for Research in Fundamental Sci-ences (IPM), P.O. Box: 19395-5746, Tehran, Iran.', 'institution_ids': ['https://openalex.org/I4210146419']}, {'raw_affiliation_string': 'Olgur Celikbas , Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA', 'institution_ids': ['https://openalex.org/I140172145']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.764, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 22, 'citation_normalized_percentile': {'value': 0.999799, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 91, 'max': 92}, 'biblio': {'volume': '58', 'issue': '3', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12069', 'display_name': 'Commutative Algebra and Its Applications', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11703', 'display_name': 'Rings, Modules, and Algebras', 'score': 0.9919, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/integrally-closed', 'display_name': 'Integrally closed', 'score': 0.7531723}, {'id': 'https://openalex.org/keywords/noetherian-ring', 'display_name': 'Noetherian ring', 'score': 0.44567114}, {'id': 'https://openalex.org/keywords/global-dimension', 'display_name': 'Global dimension', 'score': 0.42573744}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.9185848}, {'id': 'https://openalex.org/C128107574', 'wikidata': 'https://www.wikidata.org/wiki/Q182003', 'display_name': 'Injective function', 'level': 2, 'score': 0.7891197}, {'id': 'https://openalex.org/C205059728', 'wikidata': 'https://www.wikidata.org/wiki/Q6042740', 'display_name': 'Integrally closed', 'level': 2, 'score': 0.7531723}, {'id': 'https://openalex.org/C2779057376', 'wikidata': 'https://www.wikidata.org/wiki/Q3342676', 'display_name': 'Noetherian', 'level': 3, 'score': 0.7367797}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.7042064}, {'id': 'https://openalex.org/C142109727', 'wikidata': 'https://www.wikidata.org/wiki/Q1142704', 'display_name': 'Local ring', 'level': 3, 'score': 0.6932833}, {'id': 'https://openalex.org/C33676613', 'wikidata': 'https://www.wikidata.org/wiki/Q13415176', 'display_name': 'Dimension (graph theory)', 'level': 2, 'score': 0.5798914}, {'id': 'https://openalex.org/C183778304', 'wikidata': 'https://www.wikidata.org/wiki/Q165474', 'display_name': 'Commutative property', 'level': 2, 'score': 0.5761801}, {'id': 'https://openalex.org/C162860070', 'wikidata': 'https://www.wikidata.org/wiki/Q142140', 'display_name': 'Finitely-generated abelian group', 'level': 2, 'score': 0.5636679}, {'id': 'https://openalex.org/C2776639384', 'wikidata': 'https://www.wikidata.org/wiki/Q840396', 'display_name': 'Ideal (ethics)', 'level': 2, 'score': 0.48517138}, {'id': 'https://openalex.org/C97137487', 'wikidata': 'https://www.wikidata.org/wiki/Q729138', 'display_name': 'Integer (computer science)', 'level': 2, 'score': 0.4524759}, {'id': 'https://openalex.org/C118211362', 'wikidata': 'https://www.wikidata.org/wiki/Q1203540', 'display_name': 'Maximal ideal', 'level': 3, 'score': 0.4492213}, {'id': 'https://openalex.org/C2777726979', 'wikidata': 'https://www.wikidata.org/wiki/Q582271', 'display_name': 'Noetherian ring', 'level': 3, 'score': 0.44567114}, {'id': 'https://openalex.org/C96489954', 'wikidata': 'https://www.wikidata.org/wiki/Q5570832', 'display_name': 'Global dimension', 'level': 2, 'score': 0.42573744}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.3327666}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.24445564}, {'id': 'https://openalex.org/C2780378348', 'wikidata': 'https://www.wikidata.org/wiki/Q25351438', 'display_name': 'Ring (chemistry)', 'level': 2, 'score': 0.15912166}, {'id': 'https://openalex.org/C78519656', 'wikidata': 'https://www.wikidata.org/wiki/Q101333', 'display_name': 'Mechanical engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C178790620', 'wikidata': 'https://www.wikidata.org/wiki/Q11351', 'display_name': 'Organic chemistry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1215/21562261-2017-0033', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2360835', 'display_name': 'Kyoto journal of mathematics', 'issn_l': '2156-2261', 'issn': ['2156-2261', '2154-3321'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315698', 'host_organization_name': 'Duke University Press', 'host_organization_lineage': ['https://openalex.org/P4310315572', 'https://openalex.org/P4310315698'], 'host_organization_lineage_names': ['Duke University', 'Duke University Press'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1405.5188', 'pdf_url': 'http://arxiv.org/pdf/1405.5188', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://projecteuclid.org/euclid.kjm/1529373739', 'pdf_url': 'https://projecteuclid.org/journals/kyoto-journal-of-mathematics/volume-58/issue-3/Homological-dimensions-of-rigid-modules/10.1215/21562261-2017-0033.pdf', 'source': {'id': 'https://openalex.org/S4306400787', 'display_name': 'Project Euclid (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1405.5188', 'pdf_url': 'https://arxiv.org/pdf/1405.5188', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1405.5188', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1405.5188', 'pdf_url': 'http://arxiv.org/pdf/1405.5188', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2254060220', 'https://openalex.org/W3099542280'], 'referenced_works_count': 60, 'referenced_works': ['https://openalex.org/W1024335871', 'https://openalex.org/W113632241', 'https://openalex.org/W1488043141', 'https://openalex.org/W1493681704', 'https://openalex.org/W1495403728', 'https://openalex.org/W1508234517', 'https://openalex.org/W1531891576', 'https://openalex.org/W1547535426', 'https://openalex.org/W155431822', 'https://openalex.org/W1573238967', 'https://openalex.org/W160860074', 'https://openalex.org/W1612850280', 'https://openalex.org/W1963718330', 'https://openalex.org/W1970867560', 'https://openalex.org/W1980527624', 'https://openalex.org/W1993643562', 'https://openalex.org/W1997645797', 'https://openalex.org/W2017562419', 'https://openalex.org/W2018699971', 'https://openalex.org/W2021465775', 'https://openalex.org/W2037111507', 'https://openalex.org/W2038823968', 'https://openalex.org/W2043495495', 'https://openalex.org/W2043679117', 'https://openalex.org/W2044340585', 'https://openalex.org/W2046241004', 'https://openalex.org/W2046909537', 'https://openalex.org/W2057444182', 'https://openalex.org/W2075424595', 'https://openalex.org/W2075586792', 'https://openalex.org/W2085024848', 'https://openalex.org/W2088639128', 'https://openalex.org/W2090471935', 'https://openalex.org/W2094469216', 'https://openalex.org/W2096410438', 'https://openalex.org/W2099770926', 'https://openalex.org/W2110824934', 'https://openalex.org/W2114145385', 'https://openalex.org/W2123186395', 'https://openalex.org/W2134171436', 'https://openalex.org/W2143179140', 'https://openalex.org/W2146520275', 'https://openalex.org/W2319690992', 'https://openalex.org/W2324883346', 'https://openalex.org/W2335631342', 'https://openalex.org/W2600600173', 'https://openalex.org/W2962946116', 'https://openalex.org/W2963351377', 'https://openalex.org/W2963529235', 'https://openalex.org/W2963939233', 'https://openalex.org/W2964007707', 'https://openalex.org/W3102877951', 'https://openalex.org/W3105162900', 'https://openalex.org/W3123167947', 'https://openalex.org/W4205402230', 'https://openalex.org/W4210919324', 'https://openalex.org/W4241138396', 'https://openalex.org/W4249392955', 'https://openalex.org/W584788542', 'https://openalex.org/W79858623'], 'related_works': ['https://openalex.org/W923067214', 'https://openalex.org/W3001347169', 'https://openalex.org/W2951811635', 'https://openalex.org/W2396158370', 'https://openalex.org/W2065724878', 'https://openalex.org/W2063991620', 'https://openalex.org/W2035766735', 'https://openalex.org/W1727812930', 'https://openalex.org/W1506547866', 'https://openalex.org/W1024873875'], 'abstract_inverted_index': {'We': [0], 'obtain': [1], 'various': [2], 'characterizations': [3], 'of': [4, 12, 15, 25, 43, 48, 74], 'commutative': [5], 'Noetherian': [6], 'local': [7], 'rings': [8], '(R,m)': [9], 'in': [10, 27], 'terms': [11], 'homological': [13], 'dimensions': [14], 'certain': [16], 'finitely': [17], 'generated': [18], 'modules.': [19], 'Our': [20], 'argument': [21], 'has': [22], 'a': [23, 61], 'series': [24], 'consequences': [26], 'different': [28], 'directions.': [29], 'For': [30], 'example,': [31], 'we': [32, 53], 'establish': [33], 'that': [34, 55], 'R': [35, 49, 56, 75], 'is': [36, 50], 'Gorenstein': [37, 40], 'if': [38, 60], 'the': [39, 44], 'injective': [41], 'dimension': [42], 'maximal': [45], 'ideal': [46], 'm': [47], 'finite.': [51], 'Moreover,': [52], 'prove': [54], 'must': [57], 'be': [58], 'regular': [59], 'single': [62], 'ExtRn(I,J)': [63], 'vanishes': [64], 'for': [65, 77], 'some': [66, 78], 'integrally': [67], 'closed': [68], 'm-primary': [69], 'ideals': [70], 'I': [71], 'and': [72, 76], 'J': [73], 'positive': [79], 'integer': [80], 'n.': [81]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2254060220', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 4}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 2}, {'year': 2019, 'cited_by_count': 3}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 1}], 'updated_date': '2024-12-09T13:29:51.627541', 'created_date': '2016-06-24'}