Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2004460156', 'doi': 'https://doi.org/10.1007/s11006-006-0169-5', 'title': 'When is an Abelian group isomorphic to its endomorphism group?', 'display_name': 'When is an Abelian group isomorphic to its endomorphism group?', 'publication_year': 2006, 'publication_date': '2006-09-01', 'ids': {'openalex': 'https://openalex.org/W2004460156', 'doi': 'https://doi.org/10.1007/s11006-006-0169-5', 'mag': '2004460156'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s11006-006-0169-5', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S16116274', 'display_name': 'Mathematical Notes', 'issn_l': '0001-4346', 'issn': ['0001-4346', '1067-9073', '1573-8876'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310320267', 'host_organization_name': 'Pleiades Publishing', 'host_organization_lineage': ['https://openalex.org/P4310320267', 'https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Pleiades Publishing', 'Springer Nature'], '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/A5013326634', 'display_name': 'E. M. Kolenova', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I47410878', 'display_name': 'Nizhny Novgorod State Pedagogical University', 'ror': 'https://ror.org/05mm0yv21', 'country_code': 'RU', 'type': 'education', 'lineage': ['https://openalex.org/I47410878']}], 'countries': ['RU'], 'is_corresponding': False, 'raw_author_name': 'E. M. Kolenova', 'raw_affiliation_strings': ['Nizhnii Novgorod State Pedagogical Institute, Nizhnii Novgorod,'], 'affiliations': [{'raw_affiliation_string': 'Nizhnii Novgorod State Pedagogical Institute, Nizhnii Novgorod,', 'institution_ids': ['https://openalex.org/I47410878']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5029501072', 'display_name': 'Анатолий Михайлович Себельдин', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I47410878', 'display_name': 'Nizhny Novgorod State Pedagogical University', 'ror': 'https://ror.org/05mm0yv21', 'country_code': 'RU', 'type': 'education', 'lineage': ['https://openalex.org/I47410878']}], 'countries': ['RU'], 'is_corresponding': False, 'raw_author_name': 'A. M. Sebel’din', 'raw_affiliation_strings': ['Nizhnii Novgorod State Pedagogical Institute, Nizhnii Novgorod,'], 'affiliations': [{'raw_affiliation_string': 'Nizhnii Novgorod State Pedagogical Institute, Nizhnii Novgorod,', 'institution_ids': ['https://openalex.org/I47410878']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.288769, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 61, 'max': 68}, 'biblio': {'volume': '80', 'issue': '3-4', 'first_page': '509', 'last_page': '517'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11151', 'display_name': 'Advanced Topology and Set Theory', 'score': 0.7755, '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/T11151', 'display_name': 'Advanced Topology and Set Theory', 'score': 0.7755, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/free-abelian-group', 'display_name': 'Free abelian group', 'score': 0.7033017}, {'id': 'https://openalex.org/keywords/isomorphism', 'display_name': 'Isomorphism (crystallography)', 'score': 0.4750685}], 'concepts': [{'id': 'https://openalex.org/C136170076', 'wikidata': 'https://www.wikidata.org/wiki/Q181296', 'display_name': 'Abelian group', 'level': 2, 'score': 0.8929877}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.885986}, {'id': 'https://openalex.org/C200681373', 'wikidata': 'https://www.wikidata.org/wiki/Q1260803', 'display_name': 'Rank of an abelian group', 'level': 4, 'score': 0.8528732}, {'id': 'https://openalex.org/C116858840', 'wikidata': 'https://www.wikidata.org/wiki/Q1340800', 'display_name': 'Endomorphism', 'level': 2, 'score': 0.83546335}, {'id': 'https://openalex.org/C81008192', 'wikidata': 'https://www.wikidata.org/wiki/Q1017231', 'display_name': 'Elementary abelian group', 'level': 3, 'score': 0.8231831}, {'id': 'https://openalex.org/C197623797', 'wikidata': 'https://www.wikidata.org/wiki/Q1454111', 'display_name': 'Free abelian group', 'level': 5, 'score': 0.7033017}, {'id': 'https://openalex.org/C170124329', 'wikidata': 'https://www.wikidata.org/wiki/Q592651', 'display_name': 'Non-abelian group', 'level': 4, 'score': 0.66022646}, {'id': 'https://openalex.org/C163572010', 'wikidata': 'https://www.wikidata.org/wiki/Q2912125', 'display_name': 'G-module', 'level': 4, 'score': 0.633294}, {'id': 'https://openalex.org/C2781311116', 'wikidata': 'https://www.wikidata.org/wiki/Q83306', 'display_name': 'Group (periodic table)', 'level': 2, 'score': 0.57117945}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.502568}, {'id': 'https://openalex.org/C195637984', 'wikidata': 'https://www.wikidata.org/wiki/Q4791130', 'display_name': 'Arithmetic of abelian varieties', 'level': 5, 'score': 0.48346835}, {'id': 'https://openalex.org/C14669601', 'wikidata': 'https://www.wikidata.org/wiki/Q2293759', 'display_name': 'Torsion subgroup', 'level': 4, 'score': 0.48231626}, {'id': 'https://openalex.org/C203436722', 'wikidata': 'https://www.wikidata.org/wiki/Q902950', 'display_name': 'Isomorphism (crystallography)', 'level': 3, 'score': 0.4750685}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.36011583}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.048568636}, {'id': 'https://openalex.org/C115624301', 'wikidata': 'https://www.wikidata.org/wiki/Q895901', 'display_name': 'Crystal structure', 'level': 2, 'score': 0.04466793}, {'id': 'https://openalex.org/C178790620', 'wikidata': 'https://www.wikidata.org/wiki/Q11351', 'display_name': 'Organic chemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C8010536', 'wikidata': 'https://www.wikidata.org/wiki/Q160398', 'display_name': 'Crystallography', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s11006-006-0169-5', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S16116274', 'display_name': 'Mathematical Notes', 'issn_l': '0001-4346', 'issn': ['0001-4346', '1067-9073', '1573-8876'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310320267', 'host_organization_name': 'Pleiades Publishing', 'host_organization_lineage': ['https://openalex.org/P4310320267', 'https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Pleiades Publishing', 'Springer Nature'], 'type': 'journal'}, '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': 2, 'referenced_works': ['https://openalex.org/W3135668875', 'https://openalex.org/W591591544'], 'related_works': ['https://openalex.org/W37379289', 'https://openalex.org/W3202796508', 'https://openalex.org/W2917437667', 'https://openalex.org/W2317222639', 'https://openalex.org/W2140402480', 'https://openalex.org/W2053489486', 'https://openalex.org/W2038105718', 'https://openalex.org/W2009465652', 'https://openalex.org/W1999189963', 'https://openalex.org/W1913022994'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2004460156', 'counts_by_year': [{'year': 2020, 'cited_by_count': 1}], 'updated_date': '2024-12-13T10:30:08.522850', 'created_date': '2016-06-24'}