Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2497907440', 'doi': 'https://doi.org/10.1007/978-4-431-55459-2_7', 'title': 'Global Theory of Tensor Ranks', 'display_name': 'Global Theory of Tensor Ranks', 'publication_year': 2016, 'publication_date': '2016-01-01', 'ids': {'openalex': 'https://openalex.org/W2497907440', 'doi': 'https://doi.org/10.1007/978-4-431-55459-2_7', 'mag': '2497907440'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-4-431-55459-2_7', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210221998', 'display_name': 'SpringerBriefs in statistics', 'issn_l': '2191-544X', 'issn': ['2191-544X', '2191-5458'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319972', 'host_organization_name': 'Springer International Publishing', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319972'], 'host_organization_lineage_names': ['Springer Nature', 'Springer International Publishing'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book-chapter', 'type_crossref': 'book-chapter', '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/A5112261493', 'display_name': 'Toshio Sakata', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I135598925', 'display_name': 'Kyushu University', 'ror': 'https://ror.org/00p4k0j84', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I135598925']}], 'countries': ['JP'], 'is_corresponding': True, 'raw_author_name': 'Toshio Sakata', 'raw_affiliation_strings': ['Faculty of Design, Kyushu University, Fukuoka, Japan'], 'affiliations': [{'raw_affiliation_string': 'Faculty of Design, Kyushu University, Fukuoka, Japan', 'institution_ids': ['https://openalex.org/I135598925']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5110162906', 'display_name': 'Toshio Sumi', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I135598925', 'display_name': 'Kyushu University', 'ror': 'https://ror.org/00p4k0j84', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I135598925']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Toshio Sumi', 'raw_affiliation_strings': ['Faculty of Arts and Science, Kyushu University, Fukuoka, Japan'], 'affiliations': [{'raw_affiliation_string': 'Faculty of Arts and Science, Kyushu University, Fukuoka, Japan', 'institution_ids': ['https://openalex.org/I135598925']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5028939831', 'display_name': 'Mitsuhiro Miyazaki', 'orcid': 'https://orcid.org/0000-0002-3472-7473'}, 'institutions': [{'id': 'https://openalex.org/I4210129581', 'display_name': 'Kyoto University of Education', 'ror': 'https://ror.org/03zhhr656', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I4210129581']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Mitsuhiro Miyazaki', 'raw_affiliation_strings': ['Department of Mathematics, Kyoto University of Education, Kyoto, Japan'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Kyoto University of Education, Kyoto, Japan', 'institution_ids': ['https://openalex.org/I4210129581']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5112261493'], 'corresponding_institution_ids': ['https://openalex.org/I135598925'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, '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': '81', 'last_page': '91'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12303', 'display_name': 'Tensor decomposition and applications', 'score': 0.9989, 'subfield': {'id': 'https://openalex.org/subfields/2605', 'display_name': 'Computational Mathematics'}, '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/T12303', 'display_name': 'Tensor decomposition and applications', 'score': 0.9989, 'subfield': {'id': 'https://openalex.org/subfields/2605', 'display_name': 'Computational Mathematics'}, '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': 'Polynomial and algebraic computation', 'score': 0.9317, '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'}}, {'id': 'https://openalex.org/T11318', 'display_name': 'Phytoestrogen effects and research', 'score': 0.9128, 'subfield': {'id': 'https://openalex.org/subfields/2734', 'display_name': 'Pathology and Forensic Medicine'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/rank', 'display_name': 'Rank (graph theory)', 'score': 0.84390116}], 'concepts': [{'id': 'https://openalex.org/C164226766', 'wikidata': 'https://www.wikidata.org/wiki/Q7293202', 'display_name': 'Rank (graph theory)', 'level': 2, 'score': 0.84390116}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7803617}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.6753706}, {'id': 'https://openalex.org/C33676613', 'wikidata': 'https://www.wikidata.org/wiki/Q13415176', 'display_name': 'Dimension (graph theory)', 'level': 2, 'score': 0.6631176}, {'id': 'https://openalex.org/C97137487', 'wikidata': 'https://www.wikidata.org/wiki/Q729138', 'display_name': 'Integer (computer science)', 'level': 2, 'score': 0.55065006}, {'id': 'https://openalex.org/C136197465', 'wikidata': 'https://www.wikidata.org/wiki/Q1729295', 'display_name': 'Variety (cybernetics)', 'level': 2, 'score': 0.54963964}, {'id': 'https://openalex.org/C155281189', 'wikidata': 'https://www.wikidata.org/wiki/Q3518150', 'display_name': 'Tensor (intrinsic definition)', 'level': 2, 'score': 0.5359339}, {'id': 'https://openalex.org/C9652623', 'wikidata': 'https://www.wikidata.org/wiki/Q190109', 'display_name': 'Field (mathematics)', 'level': 2, 'score': 0.44964704}, {'id': 'https://openalex.org/C9376300', 'wikidata': 'https://www.wikidata.org/wiki/Q168817', 'display_name': 'Algebraic number', 'level': 2, 'score': 0.42797026}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.34678733}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.17578873}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.084098876}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.06087619}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-4-431-55459-2_7', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210221998', 'display_name': 'SpringerBriefs in statistics', 'issn_l': '2191-544X', 'issn': ['2191-544X', '2191-5458'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319972', 'host_organization_name': 'Springer International Publishing', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319972'], 'host_organization_lineage_names': ['Springer Nature', 'Springer International Publishing'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W78494858', 'https://openalex.org/W4297787022', 'https://openalex.org/W2975132039', 'https://openalex.org/W2950186459', 'https://openalex.org/W2949126640', 'https://openalex.org/W2897298721', 'https://openalex.org/W2170114491', 'https://openalex.org/W2071370397', 'https://openalex.org/W2015540166', 'https://openalex.org/W1666143004'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2497907440', 'counts_by_year': [], 'updated_date': '2024-12-06T15:20:31.941785', 'created_date': '2016-08-23'}