Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W4213269555', 'doi': 'https://doi.org/10.1016/0022-4049(95)00050-7', 'title': 'A theory of tensor products for modulé categories for a vertex operator algebra, IV', 'display_name': 'A theory of tensor products for modulé categories for a vertex operator algebra, IV', 'publication_year': 1995, 'publication_date': '1995-05-01', 'ids': {'openalex': 'https://openalex.org/W4213269555', 'doi': 'https://doi.org/10.1016/0022-4049(95)00050-7'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/0022-4049(95)00050-7', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4805881', 'display_name': 'Journal of Pure and Applied Algebra', 'issn_l': '0022-4049', 'issn': ['0022-4049', '1873-1376'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://doi.org/10.1016/0022-4049(95)00050-7', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5066095681', 'display_name': 'Yi-Zhi Huang', 'orcid': 'https://orcid.org/0000-0002-6121-2539'}, 'institutions': [{'id': 'https://openalex.org/I102322142', 'display_name': 'Rutgers, The State University of New Jersey', 'ror': 'https://ror.org/05vt9qd57', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I102322142']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Yi-Zhi Huang', 'raw_affiliation_strings': ['Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA', 'institution_ids': ['https://openalex.org/I102322142']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5066095681'], 'corresponding_institution_ids': ['https://openalex.org/I102322142'], 'apc_list': {'value': 3200, 'currency': 'USD', 'value_usd': 3200, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 4.487, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 98, 'citation_normalized_percentile': {'value': 0.970561, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 96, 'max': 97}, 'biblio': {'volume': '100', 'issue': '1-3', 'first_page': '173', 'last_page': '216'}, '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': 0.9996, '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': 0.9991, '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/vertex-operator-algebra', 'display_name': 'Vertex operator algebra', 'score': 0.7773946}, {'id': 'https://openalex.org/keywords/associative-property', 'display_name': 'Associative property', 'score': 0.7568122}, {'id': 'https://openalex.org/keywords/operator-algebra', 'display_name': 'Operator algebra', 'score': 0.57862955}, {'id': 'https://openalex.org/keywords/associative-algebra', 'display_name': 'Associative algebra', 'score': 0.5580777}, {'id': 'https://openalex.org/keywords/tensor-algebra', 'display_name': 'Tensor algebra', 'score': 0.45173982}, {'id': 'https://openalex.org/keywords/operator-product-expansion', 'display_name': 'Operator product expansion', 'score': 0.43571746}, {'id': 'https://openalex.org/keywords/cartesian-tensor', 'display_name': 'Cartesian tensor', 'score': 0.41192454}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7944292}, {'id': 'https://openalex.org/C179724543', 'wikidata': 'https://www.wikidata.org/wiki/Q28509', 'display_name': 'Vertex operator algebra', 'level': 5, 'score': 0.7773946}, {'id': 'https://openalex.org/C159423971', 'wikidata': 'https://www.wikidata.org/wiki/Q177251', 'display_name': 'Associative property', 'level': 2, 'score': 0.7568122}, {'id': 'https://openalex.org/C93776189', 'wikidata': 'https://www.wikidata.org/wiki/Q1404488', 'display_name': 'Tensor product of Hilbert spaces', 'level': 4, 'score': 0.7324094}, {'id': 'https://openalex.org/C51255310', 'wikidata': 'https://www.wikidata.org/wiki/Q1163016', 'display_name': 'Tensor product', 'level': 2, 'score': 0.732089}, {'id': 'https://openalex.org/C41678559', 'wikidata': 'https://www.wikidata.org/wiki/Q7700713', 'display_name': 'Tensor product of algebras', 'level': 5, 'score': 0.71295094}, {'id': 'https://openalex.org/C101783463', 'wikidata': 'https://www.wikidata.org/wiki/Q3406761', 'display_name': 'Tensor product of modules', 'level': 5, 'score': 0.6108575}, {'id': 'https://openalex.org/C80899671', 'wikidata': 'https://www.wikidata.org/wiki/Q1304193', 'display_name': 'Vertex (graph theory)', 'level': 3, 'score': 0.59330946}, {'id': 'https://openalex.org/C191413488', 'wikidata': 'https://www.wikidata.org/wiki/Q1892554', 'display_name': 'Operator algebra', 'level': 2, 'score': 0.57862955}, {'id': 'https://openalex.org/C124007464', 'wikidata': 'https://www.wikidata.org/wiki/Q428091', 'display_name': 'Tensor contraction', 'level': 3, 'score': 0.5732676}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.5723874}, {'id': 'https://openalex.org/C51292594', 'wikidata': 'https://www.wikidata.org/wiki/Q744960', 'display_name': 'Associative algebra', 'level': 5, 'score': 0.5580777}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5430552}, {'id': 'https://openalex.org/C155281189', 'wikidata': 'https://www.wikidata.org/wiki/Q3518150', 'display_name': 'Tensor (intrinsic definition)', 'level': 2, 'score': 0.50200033}, {'id': 'https://openalex.org/C1680195', 'wikidata': 'https://www.wikidata.org/wiki/Q2296021', 'display_name': 'Tensor algebra', 'level': 5, 'score': 0.45173982}, {'id': 'https://openalex.org/C18199665', 'wikidata': 'https://www.wikidata.org/wiki/Q3883909', 'display_name': 'Operator product expansion', 'level': 2, 'score': 0.43571746}, {'id': 'https://openalex.org/C64835786', 'wikidata': 'https://www.wikidata.org/wiki/Q17004583', 'display_name': 'Cartesian tensor', 'level': 5, 'score': 0.41192454}, {'id': 'https://openalex.org/C148125525', 'wikidata': 'https://www.wikidata.org/wiki/Q904927', 'display_name': 'Tensor density', 'level': 4, 'score': 0.269534}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.25721753}, {'id': 'https://openalex.org/C166077713', 'wikidata': 'https://www.wikidata.org/wiki/Q1758924', 'display_name': 'Tensor field', 'level': 3, 'score': 0.22581118}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.2024757}, {'id': 'https://openalex.org/C81999800', 'wikidata': 'https://www.wikidata.org/wiki/Q1454725', 'display_name': 'Current algebra', 'level': 3, 'score': 0.17553365}, {'id': 'https://openalex.org/C14394260', 'wikidata': 'https://www.wikidata.org/wiki/Q4723980', 'display_name': 'Algebra representation', 'level': 3, 'score': 0.16541702}, {'id': 'https://openalex.org/C100376341', 'wikidata': 'https://www.wikidata.org/wiki/Q649977', 'display_name': 'Jordan algebra', 'level': 4, 'score': 0.16139197}, {'id': 'https://openalex.org/C520416788', 'wikidata': 'https://www.wikidata.org/wiki/Q5419229', 'display_name': 'Exact solutions in general relativity', 'level': 2, 'score': 0.13246694}, {'id': 'https://openalex.org/C100899422', 'wikidata': 'https://www.wikidata.org/wiki/Q5058347', 'display_name': 'Cellular algebra', 'level': 4, 'score': 0.12827441}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.07950628}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/0022-4049(95)00050-7', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4805881', 'display_name': 'Journal of Pure and Applied Algebra', 'issn_l': '0022-4049', 'issn': ['0022-4049', '1873-1376'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/0022-4049(95)00050-7', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4805881', 'display_name': 'Journal of Pure and Applied Algebra', 'issn_l': '0022-4049', 'issn': ['0022-4049', '1873-1376'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W1983055324', 'https://openalex.org/W2017333554', 'https://openalex.org/W2475730594', 'https://openalex.org/W2952820562', 'https://openalex.org/W309720609', 'https://openalex.org/W3126593214'], 'related_works': ['https://openalex.org/W4298343018', 'https://openalex.org/W4297845514', 'https://openalex.org/W4281647127', 'https://openalex.org/W4213269555', 'https://openalex.org/W3085761450', 'https://openalex.org/W2952820562', 'https://openalex.org/W2948436065', 'https://openalex.org/W2201223056', 'https://openalex.org/W1792697675', 'https://openalex.org/W138147169'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4213269555', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 5}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 4}, {'year': 2020, 'cited_by_count': 8}, {'year': 2019, 'cited_by_count': 7}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 6}, {'year': 2016, 'cited_by_count': 3}, {'year': 2015, 'cited_by_count': 7}, {'year': 2013, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-09T19:04:36.407039', 'created_date': '2022-02-24'}