Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1994652088', 'doi': 'https://doi.org/10.1080/00927879808826411', 'title': 'The hilbert function and the minimal free resolution of some gorenstein ideals of codimension 4', 'display_name': 'The hilbert function and the minimal free resolution of some gorenstein ideals of codimension 4', 'publication_year': 1998, 'publication_date': '1998-01-01', 'ids': {'openalex': 'https://openalex.org/W1994652088', 'doi': 'https://doi.org/10.1080/00927879808826411', 'mag': '1994652088'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/00927879808826411', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S53865935', 'display_name': 'Communications in Algebra', 'issn_l': '0092-7872', 'issn': ['0092-7872', '1532-4125'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5067834671', 'display_name': 'Anthony V. Geramita', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I204722609', 'display_name': "Queen's University", 'ror': 'https://ror.org/02y72wh86', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I204722609']}, {'id': 'https://openalex.org/I83816512', 'display_name': 'University of Genoa', 'ror': 'https://ror.org/0107c5v14', 'country_code': 'IT', 'type': 'education', 'lineage': ['https://openalex.org/I83816512']}], 'countries': ['CA', 'IT'], 'is_corresponding': True, 'raw_author_name': 'Anthony V. Geramita', 'raw_affiliation_strings': ['a Department of Mathematics & Statistics , Queen’s University , Kingston , Ontario , K7L 3N6 , Canada E-mail:', 'b Dipartimento Di Mahematica , Universitá Di Genova , Genova , Italia'], 'affiliations': [{'raw_affiliation_string': 'a Department of Mathematics & Statistics , Queen’s University , Kingston , Ontario , K7L 3N6 , Canada E-mail:', 'institution_ids': ['https://openalex.org/I204722609']}, {'raw_affiliation_string': 'b Dipartimento Di Mahematica , Universitá Di Genova , Genova , Italia', 'institution_ids': ['https://openalex.org/I83816512']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5048508533', 'display_name': 'Hyunsuk Ko', 'orcid': 'https://orcid.org/0000-0002-7015-8351'}, 'institutions': [{'id': 'https://openalex.org/I193775966', 'display_name': 'Yonsei University', 'ror': 'https://ror.org/01wjejq96', 'country_code': 'KR', 'type': 'education', 'lineage': ['https://openalex.org/I193775966']}], 'countries': ['KR'], 'is_corresponding': False, 'raw_author_name': 'Hyoung June Ko', 'raw_affiliation_strings': ['Department of Mathematics , Yonsei University , 134 Shin Chon Dong So Dae Moon Ku, Seoul , 120-749 , Korea E-mail: hjkoQbubble.yonsei.ac.kr'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics , Yonsei University , 134 Shin Chon Dong So Dae Moon Ku, Seoul , 120-749 , Korea E-mail: hjkoQbubble.yonsei.ac.kr', 'institution_ids': ['https://openalex.org/I193775966']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5063259438', 'display_name': 'Yong-Su Shin', 'orcid': 'https://orcid.org/0000-0003-3005-8396'}, 'institutions': [], 'countries': ['KR'], 'is_corresponding': True, 'raw_author_name': 'Yong Su Shin', 'raw_affiliation_strings': ['d Department of Mathematics , Sung Shin Women’s University , Dong Sun Dong , Seoul , 136-742 , Korea E-mail:'], 'affiliations': [{'raw_affiliation_string': 'd Department of Mathematics , Sung Shin Women’s University , Dong Sun Dong , Seoul , 136-742 , Korea E-mail:', 'institution_ids': []}]}], 'countries_distinct_count': 3, 'institutions_distinct_count': 3, 'corresponding_author_ids': ['https://openalex.org/A5067834671', 'https://openalex.org/A5063259438'], 'corresponding_institution_ids': ['https://openalex.org/I204722609', 'https://openalex.org/I83816512'], 'apc_list': None, 'apc_paid': None, 'fwci': 3.429, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 14, 'citation_normalized_percentile': {'value': 0.744571, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 81, 'max': 82}, 'biblio': {'volume': '26', 'issue': '12', 'first_page': '4285', 'last_page': '4307'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12069', 'display_name': 'Monomial Ideals and Algebraic Properties', 'score': 1.0, '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'}}, 'topics': [{'id': 'https://openalex.org/T12069', 'display_name': 'Monomial Ideals and Algebraic Properties', 'score': 1.0, '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/T10061', 'display_name': 'Algebraic Geometry and Moduli Theory', 'score': 0.996, '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/T11435', 'display_name': 'Symbolic Computing in Algebraic Geometry and Cryptography', 'score': 0.9929, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/codimension', 'display_name': 'Codimension', 'score': 0.9616603}, {'id': 'https://openalex.org/keywords/graded-betti-numbers', 'display_name': 'Graded Betti Numbers', 'score': 0.50228}], 'concepts': [{'id': 'https://openalex.org/C83979697', 'wikidata': 'https://www.wikidata.org/wiki/Q1778247', 'display_name': 'Codimension', 'level': 2, 'score': 0.9616603}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.9145267}, {'id': 'https://openalex.org/C129621563', 'wikidata': 'https://www.wikidata.org/wiki/Q429593', 'display_name': 'Betti number', 'level': 2, 'score': 0.84672594}, {'id': 'https://openalex.org/C57033185', 'wikidata': 'https://www.wikidata.org/wiki/Q5761236', 'display_name': 'Hilbert series and Hilbert polynomial', 'level': 3, 'score': 0.8348361}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.68658906}, {'id': 'https://openalex.org/C138268822', 'wikidata': 'https://www.wikidata.org/wiki/Q1051925', 'display_name': 'Resolution (logic)', 'level': 2, 'score': 0.61913645}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.50035644}, {'id': 'https://openalex.org/C62799726', 'wikidata': 'https://www.wikidata.org/wiki/Q190056', 'display_name': 'Hilbert space', 'level': 2, 'score': 0.24739763}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.038739443}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/00927879808826411', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S53865935', 'display_name': 'Communications in Algebra', 'issn_l': '0092-7872', 'issn': ['0092-7872', '1532-4125'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.43, 'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 16, 'referenced_works': ['https://openalex.org/W1512093745', 'https://openalex.org/W1524057712', 'https://openalex.org/W1606015357', 'https://openalex.org/W1982167111', 'https://openalex.org/W1984966126', 'https://openalex.org/W2008325047', 'https://openalex.org/W2032609401', 'https://openalex.org/W2064347376', 'https://openalex.org/W2067111412', 'https://openalex.org/W2081555795', 'https://openalex.org/W2081594496', 'https://openalex.org/W2082556448', 'https://openalex.org/W2086346829', 'https://openalex.org/W2145201379', 'https://openalex.org/W2161472012', 'https://openalex.org/W2165571885'], 'related_works': ['https://openalex.org/W4320186708', 'https://openalex.org/W4299513653', 'https://openalex.org/W2953157994', 'https://openalex.org/W2952564814', 'https://openalex.org/W2950641949', 'https://openalex.org/W2950343687', 'https://openalex.org/W2156199923', 'https://openalex.org/W2067608717', 'https://openalex.org/W2025911476', 'https://openalex.org/W1998337579'], 'abstract_inverted_index': {'We': [0], 'give': [1], 'a': [2], 'construction': [3], 'for': [4, 18], 'Gorenstein': [5], 'ideals': [6], 'of': [7], 'codimension': [8], '4': [9], 'which': [10], 'we': [11], 'believe': [12], 'have': [13], 'maximal': [14], 'graded': [15], 'Betti': [16], 'numbers': [17], 'their': [19], 'Hilbert': [20], 'function.': [21]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1994652088', 'counts_by_year': [{'year': 2014, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 4}], 'updated_date': '2024-08-14T04:42:47.604630', 'created_date': '2016-06-24'}