Publication Information

{'id': 'https://openalex.org/W3122758671', 'doi': None, 'title': 'The $Q$-shaped derived category of a ring', 'display_name': 'The $Q$-shaped derived category of a ring', 'publication_year': 2021, 'publication_date': '2021-01-15', 'ids': {'openalex': 'https://openalex.org/W3122758671', 'mag': '3122758671'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/2101.06176', 'pdf_url': None, '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}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': [], '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/A5079664374', 'display_name': 'Henrik Holm', 'orcid': 'https://orcid.org/0000-0002-6895-6493'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Henrik Holm', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5050366017', 'display_name': 'Peter Jørgensen', 'orcid': 'https://orcid.org/0000-0001-6058-2952'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Peter Jorgensen', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 57}, 'biblio': {'volume': None, 'issue': None, '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/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9966, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9922, '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/quiver', 'display_name': 'Quiver', 'score': 0.7748973}, {'id': 'https://openalex.org/keywords/triangulated-category', 'display_name': 'Triangulated category', 'score': 0.68916386}, {'id': 'https://openalex.org/keywords/model-category', 'display_name': 'Model category', 'score': 0.6763513}, {'id': 'https://openalex.org/keywords/natural-transformation', 'display_name': 'Natural transformation', 'score': 0.54473704}, {'id': 'https://openalex.org/keywords/category-theory', 'display_name': 'Category theory', 'score': 0.531662}, {'id': 'https://openalex.org/keywords/homology', 'display_name': 'Homology', 'score': 0.48338452}, {'id': 'https://openalex.org/keywords/adjoint-functors', 'display_name': 'Adjoint functors', 'score': 0.4684014}, {'id': 'https://openalex.org/keywords/homological-algebra', 'display_name': 'Homological algebra', 'score': 0.42978787}], 'concepts': [{'id': 'https://openalex.org/C156772000', 'wikidata': 'https://www.wikidata.org/wiki/Q864475', 'display_name': 'Functor', 'level': 2, 'score': 0.84181154}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8274356}, {'id': 'https://openalex.org/C168310172', 'wikidata': 'https://www.wikidata.org/wiki/Q493980', 'display_name': 'Quiver', 'level': 2, 'score': 0.7748973}, {'id': 'https://openalex.org/C79236096', 'wikidata': 'https://www.wikidata.org/wiki/Q14775269', 'display_name': 'Homotopy category', 'level': 3, 'score': 0.76072687}, {'id': 'https://openalex.org/C109593458', 'wikidata': 'https://www.wikidata.org/wiki/Q5262626', 'display_name': 'Derived category', 'level': 3, 'score': 0.71299565}, {'id': 'https://openalex.org/C2780212368', 'wikidata': 'https://www.wikidata.org/wiki/Q7840150', 'display_name': 'Triangulated category', 'level': 4, 'score': 0.68916386}, {'id': 'https://openalex.org/C128520899', 'wikidata': 'https://www.wikidata.org/wiki/Q1575634', 'display_name': 'Concrete category', 'level': 3, 'score': 0.6823836}, {'id': 'https://openalex.org/C131359564', 'wikidata': 'https://www.wikidata.org/wiki/Q1941896', 'display_name': 'Model category', 'level': 4, 'score': 0.6763513}, {'id': 'https://openalex.org/C48808802', 'wikidata': 'https://www.wikidata.org/wiki/Q2007878', 'display_name': 'Functor category', 'level': 3, 'score': 0.66704535}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.6203997}, {'id': 'https://openalex.org/C156163052', 'wikidata': 'https://www.wikidata.org/wiki/Q5379515', 'display_name': 'Enriched category', 'level': 3, 'score': 0.55727035}, {'id': 'https://openalex.org/C99633028', 'wikidata': 'https://www.wikidata.org/wiki/Q1442189', 'display_name': 'Natural transformation', 'level': 3, 'score': 0.54473704}, {'id': 'https://openalex.org/C54884031', 'wikidata': 'https://www.wikidata.org/wiki/Q217413', 'display_name': 'Category theory', 'level': 2, 'score': 0.531662}, {'id': 'https://openalex.org/C7879355', 'wikidata': 'https://www.wikidata.org/wiki/Q5135329', 'display_name': 'Closed category', 'level': 3, 'score': 0.53088516}, {'id': 'https://openalex.org/C186921422', 'wikidata': 'https://www.wikidata.org/wiki/Q318737', 'display_name': 'Abelian category', 'level': 3, 'score': 0.49765542}, {'id': 'https://openalex.org/C165525559', 'wikidata': 'https://www.wikidata.org/wiki/Q224180', 'display_name': 'Homology (biology)', 'level': 3, 'score': 0.48338452}, {'id': 'https://openalex.org/C153778094', 'wikidata': 'https://www.wikidata.org/wiki/Q357858', 'display_name': 'Adjoint functors', 'level': 3, 'score': 0.4684014}, {'id': 'https://openalex.org/C5961521', 'wikidata': 'https://www.wikidata.org/wiki/Q746083', 'display_name': 'Homotopy', 'level': 2, 'score': 0.43042535}, {'id': 'https://openalex.org/C18364862', 'wikidata': 'https://www.wikidata.org/wiki/Q579978', 'display_name': 'Homological algebra', 'level': 3, 'score': 0.42978787}, {'id': 'https://openalex.org/C128107574', 'wikidata': 'https://www.wikidata.org/wiki/Q182003', 'display_name': 'Injective function', 'level': 2, 'score': 0.4277702}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C136170076', 'wikidata': 'https://www.wikidata.org/wiki/Q181296', 'display_name': 'Abelian group', 'level': 2, '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/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/2101.06176', 'pdf_url': None, '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}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 14, 'referenced_works': ['https://openalex.org/W1583674858', 'https://openalex.org/W1590477903', 'https://openalex.org/W1595937157', 'https://openalex.org/W1992574460', 'https://openalex.org/W2010523057', 'https://openalex.org/W2045497308', 'https://openalex.org/W2061384353', 'https://openalex.org/W2075424595', 'https://openalex.org/W2114145385', 'https://openalex.org/W2123577232', 'https://openalex.org/W2125971176', 'https://openalex.org/W2133635492', 'https://openalex.org/W3099392487', 'https://openalex.org/W326622104'], 'related_works': ['https://openalex.org/W945684840', 'https://openalex.org/W3188947590', 'https://openalex.org/W3104200844', 'https://openalex.org/W3037601099', 'https://openalex.org/W3025339520', 'https://openalex.org/W2990609249', 'https://openalex.org/W2962938150', 'https://openalex.org/W2952599707', 'https://openalex.org/W2949551655', 'https://openalex.org/W2915461179', 'https://openalex.org/W2403631248', 'https://openalex.org/W2238234948', 'https://openalex.org/W2150144085', 'https://openalex.org/W2146320102', 'https://openalex.org/W2143050916', 'https://openalex.org/W2065215542', 'https://openalex.org/W2013060619', 'https://openalex.org/W1979022369', 'https://openalex.org/W174003654', 'https://openalex.org/W139192146'], 'abstract_inverted_index': {'For': [0], 'any': [1], 'ring': [2], '$A$': [3, 98], 'and': [4, 9, 19, 44, 57, 125, 131, 133, 137], 'a': [5, 16, 42, 115], 'small,': [6], 'preadditive,': [7], 'Hom-finite,': [8], 'locally': [10], 'bounded': [11], 'category': [12, 29, 37, 90, 96, 113], '$Q$': [13, 34, 108], 'that': [14, 27], 'has': [15, 41], 'Serre': [17], 'functor': [18], 'satisfies': [20], 'the': [21, 28, 36, 53, 87, 111], '(strong)': [22], 'retraction': [23], 'property,': [24], 'we': [25], 'show': [26], 'of': [30, 38, 70, 91, 97, 114, 128, 134], 'additive': [31], 'functors': [32, 73], 'from': [33], 'to': [35, 109], '(left)': [39], '$A$-modules': [40], 'projective': [43], 'an': [45], 'injective': [46], 'model': [47, 50], 'structure.': [48], 'These': [49], 'structures': [51], 'have': [52], 'same': [54], 'trivial': [55], 'objects': [56], 'weak': [58], 'equivalences,': [59], 'which': [60, 82], 'in': [61, 68, 75], 'most': [62], 'cases': [63], 'can': [64], 'be': [65, 110], 'naturally': [66], 'characterized': [67], 'terms': [69], 'certain': [71], '(co)homology': [72], 'introduced': [74], 'this': [76], 'paper.': [77], 'The': [78, 93], 'associated': [79], 'homotopy': [80], 'category,': [81], 'is': [83, 85, 99], 'triangulated,': [84], 'called': [86], '$Q$-shaped': [88], 'derived': [89, 95], '$A$.': [92], 'usual': [94], 'one': [100], 'example;': [101], 'more': [102], 'general': [103], 'examples': [104], 'arise': [105], 'by': [106], 'taking': [107], 'mesh': [112], 'suitably': [116], 'nice': [117], 'stable': [118], 'translation': [119], 'quiver.': [120], 'This': [121], 'paper': [122], 'builds': [123], 'upon,': [124], 'generalizes,': [126], 'works': [127], 'Enochs,': [129], 'Estrada,': [130], 'Garcia-Rozas': [132], "Dell'Ambrogio,": [135], 'Stevenson,': [136], 'Stovicek.': [138]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3122758671', 'counts_by_year': [], 'updated_date': '2024-12-06T18:57:31.101409', 'created_date': '2021-02-01'}