Publication Information

{'id': 'https://openalex.org/W4297845514', 'doi': 'https://doi.org/10.48550/arxiv.1607.03608', 'title': 'On the tensor product of linear sites and Grothendieck categories', 'display_name': 'On the tensor product of linear sites and Grothendieck categories', 'publication_year': 2016, 'publication_date': '2016-01-01', 'ids': {'openalex': 'https://openalex.org/W4297845514', 'doi': 'https://doi.org/10.48550/arxiv.1607.03608'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1607.03608', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1607.03608', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5049922117', 'display_name': 'Wendy Lowen', 'orcid': 'https://orcid.org/0000-0001-7114-7083'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Lowen, Wendy', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5048987276', 'display_name': 'Julia Ramos González', 'orcid': 'https://orcid.org/0000-0002-2312-8862'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'González, Julia Ramos', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5085727267', 'display_name': 'Boris Shoikhet', 'orcid': 'https://orcid.org/0000-0001-5615-1711'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Shoikhet, Boris', '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': 66}, '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': 0.9783, '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': 0.9783, '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': 0.9407, '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': 0.9084, '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/cartesian-tensor', 'display_name': 'Cartesian tensor', 'score': 0.59595627}], 'concepts': [{'id': 'https://openalex.org/C41678559', 'wikidata': 'https://www.wikidata.org/wiki/Q7700713', 'display_name': 'Tensor product of algebras', 'level': 5, 'score': 0.87433183}, {'id': 'https://openalex.org/C93776189', 'wikidata': 'https://www.wikidata.org/wiki/Q1404488', 'display_name': 'Tensor product of Hilbert spaces', 'level': 4, 'score': 0.8619732}, {'id': 'https://openalex.org/C101783463', 'wikidata': 'https://www.wikidata.org/wiki/Q3406761', 'display_name': 'Tensor product of modules', 'level': 5, 'score': 0.85798925}, {'id': 'https://openalex.org/C51255310', 'wikidata': 'https://www.wikidata.org/wiki/Q1163016', 'display_name': 'Tensor product', 'level': 2, 'score': 0.81838}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7593901}, {'id': 'https://openalex.org/C124007464', 'wikidata': 'https://www.wikidata.org/wiki/Q428091', 'display_name': 'Tensor contraction', 'level': 3, 'score': 0.64524937}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.63499856}, {'id': 'https://openalex.org/C148125525', 'wikidata': 'https://www.wikidata.org/wiki/Q904927', 'display_name': 'Tensor density', 'level': 4, 'score': 0.6271947}, {'id': 'https://openalex.org/C155281189', 'wikidata': 'https://www.wikidata.org/wiki/Q3518150', 'display_name': 'Tensor (intrinsic definition)', 'level': 2, 'score': 0.6031359}, {'id': 'https://openalex.org/C64835786', 'wikidata': 'https://www.wikidata.org/wiki/Q17004583', 'display_name': 'Cartesian tensor', 'level': 5, 'score': 0.59595627}, {'id': 'https://openalex.org/C90673727', 'wikidata': 'https://www.wikidata.org/wiki/Q901718', 'display_name': 'Product (mathematics)', 'level': 2, 'score': 0.5428427}, {'id': 'https://openalex.org/C20178491', 'wikidata': 'https://www.wikidata.org/wiki/Q2204117', 'display_name': 'Symmetric tensor', 'level': 3, 'score': 0.43105623}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.42866546}, {'id': 'https://openalex.org/C166077713', 'wikidata': 'https://www.wikidata.org/wiki/Q1758924', 'display_name': 'Tensor field', 'level': 3, 'score': 0.33588737}, {'id': 'https://openalex.org/C520416788', 'wikidata': 'https://www.wikidata.org/wiki/Q5419229', 'display_name': 'Exact solutions in general relativity', 'level': 2, 'score': 0.2833883}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.2112431}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.112668246}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1607.03608', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hdl.handle.net/10067/1426410151162165141', 'pdf_url': 'https://repository.uantwerpen.be/docman/irua/a5086e/142641_2018_05_30.pdf', 'source': {'id': 'https://openalex.org/S4306401849', 'display_name': 'Institutional Repository University of Antwerp (University of Antwerp)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I149213910', 'host_organization_name': 'University of Antwerp', 'host_organization_lineage': ['https://openalex.org/I149213910'], 'host_organization_lineage_names': ['University of Antwerp'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'acceptedVersion', 'is_accepted': True, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1607.03608', 'pdf_url': 'http://arxiv.org/pdf/1607.03608', '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.1607.03608', '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': 'https://arxiv.org/abs/1607.03608', '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4386648952', 'https://openalex.org/W4297845514', 'https://openalex.org/W2948436065', 'https://openalex.org/W2947494864', 'https://openalex.org/W2809485302', 'https://openalex.org/W2619660439', 'https://openalex.org/W2606548108', 'https://openalex.org/W2469343812', 'https://openalex.org/W2186765725', 'https://openalex.org/W2018969011'], 'abstract_inverted_index': {'We': [0, 25, 74], 'define': [1], 'a': [2, 9, 32], 'tensor': [3, 11, 29, 37, 47, 63, 77, 94], 'product': [4, 12, 30, 38, 48, 64, 78, 95, 100], 'of': [5, 13, 22, 35, 39, 49, 65, 69, 79, 85], 'linear': [6, 23, 42], 'sites,': [7], 'and': [8, 44, 58, 87], 'resulting': [10], 'Grothendieck': [14, 52], 'categories': [15, 21, 53, 68], 'based': [16], 'upon': [17], 'their': [18, 66], 'representations': [19], 'as': [20], 'sheaves.': [24], 'show': [26, 88], 'that': [27, 45, 89], 'our': [28, 93], 'is': [31, 54], 'special': [33], 'case': [34], 'the': [36, 46, 61, 76, 98], 'locally': [40, 50, 55], 'presentable': [41], 'categories,': [43], 'coherent': [51, 56], 'if': [57, 60], 'only': [59], 'Deligne': [62], 'abelian': [67], 'finitely': [70], 'presented': [71], 'objects': [72], 'exists.': [73], 'describe': [75], 'non-commutative': [80], 'projective': [81, 91], 'schemes': [82, 92], 'in': [83], 'terms': [84], 'Z-algebras,': [86], 'for': [90], 'corresponds': [96], 'to': [97], 'usual': [99], 'scheme.': [101]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4297845514', 'counts_by_year': [], 'updated_date': '2024-12-06T12:02:54.616153', 'created_date': '2022-10-01'}