Publication Information

{'id': 'https://openalex.org/W2024371017', 'doi': 'https://doi.org/10.1090/s0002-9939-1991-1065941-8', 'title': 'Fully indecomposable exponents of primitive matrices', 'display_name': 'Fully indecomposable exponents of primitive matrices', 'publication_year': 1991, 'publication_date': '1991-01-01', 'ids': {'openalex': 'https://openalex.org/W2024371017', 'doi': 'https://doi.org/10.1090/s0002-9939-1991-1065941-8', 'mag': '2024371017'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s0002-9939-1991-1065941-8', 'pdf_url': 'https://www.ams.org/proc/1991-112-04/S0002-9939-1991-1065941-8/S0002-9939-1991-1065941-8.pdf', 'source': {'id': 'https://openalex.org/S4210226894', 'display_name': 'Proceedings of the American Mathematical Society', 'issn_l': '0002-9939', 'issn': ['0002-9939', '1088-6826'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, '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://www.ams.org/proc/1991-112-04/S0002-9939-1991-1065941-8/S0002-9939-1991-1065941-8.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5061925223', 'display_name': 'Richard A. Brualdi', 'orcid': 'https://orcid.org/0000-0002-0841-7375'}, 'institutions': [{'id': 'https://openalex.org/I135310074', 'display_name': 'University of Wisconsin–Madison', 'ror': 'https://ror.org/01y2jtd41', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I135310074']}, {'id': 'https://openalex.org/I187400657', 'display_name': 'South China Normal University', 'ror': 'https://ror.org/01kq0pv72', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I187400657']}], 'countries': ['CN', 'US'], 'is_corresponding': True, 'raw_author_name': 'Richard A. Brualdi', 'raw_affiliation_strings': ["Department of Mathematics, South China Normal University, Guangzhou, People's Republic of China", 'Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706', 'institution_ids': ['https://openalex.org/I135310074']}, {'raw_affiliation_string': "Department of Mathematics, South China Normal University, Guangzhou, People's Republic of China", 'institution_ids': ['https://openalex.org/I187400657']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5067502095', 'display_name': 'Bo Lian Liu', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I135310074', 'display_name': 'University of Wisconsin–Madison', 'ror': 'https://ror.org/01y2jtd41', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I135310074']}, {'id': 'https://openalex.org/I187400657', 'display_name': 'South China Normal University', 'ror': 'https://ror.org/01kq0pv72', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I187400657']}], 'countries': ['CN', 'US'], 'is_corresponding': False, 'raw_author_name': 'Bo Lian Liu', 'raw_affiliation_strings': ["Department of Mathematics, South China Normal University, Guangzhou, People's Republic of China", 'Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706', 'institution_ids': ['https://openalex.org/I135310074']}, {'raw_affiliation_string': "Department of Mathematics, South China Normal University, Guangzhou, People's Republic of China", 'institution_ids': ['https://openalex.org/I187400657']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5061925223'], 'corresponding_institution_ids': ['https://openalex.org/I135310074', 'https://openalex.org/I187400657'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.954, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 8, 'citation_normalized_percentile': {'value': 0.658776, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 76, 'max': 77}, 'biblio': {'volume': '112', 'issue': '4', 'first_page': '1193', 'last_page': '1201'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11567', 'display_name': 'semigroups and automata theory', 'score': 0.9998, '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'}}, 'topics': [{'id': 'https://openalex.org/T11567', 'display_name': 'semigroups and automata theory', 'score': 0.9998, '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/T11797', 'display_name': 'graph theory and CDMA systems', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/2208', 'display_name': 'Electrical and Electronic Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11703', 'display_name': 'Rings, Modules, and Algebras', 'score': 0.9984, '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/indecomposable-module', 'display_name': 'Indecomposable module', 'score': 0.8899733}, {'id': 'https://openalex.org/keywords/exponent', 'display_name': 'Exponent', 'score': 0.6198882}], 'concepts': [{'id': 'https://openalex.org/C157480366', 'wikidata': 'https://www.wikidata.org/wiki/Q2499534', 'display_name': 'Indecomposable module', 'level': 2, 'score': 0.8899733}, {'id': 'https://openalex.org/C2776321320', 'wikidata': 'https://www.wikidata.org/wiki/Q857525', 'display_name': 'Annotation', 'level': 2, 'score': 0.6305492}, {'id': 'https://openalex.org/C2780388253', 'wikidata': 'https://www.wikidata.org/wiki/Q5421508', 'display_name': 'Exponent', 'level': 2, 'score': 0.6198882}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.5875491}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.5019243}, {'id': 'https://openalex.org/C184337299', 'wikidata': 'https://www.wikidata.org/wiki/Q1437428', 'display_name': 'Semantics (computer science)', 'level': 2, 'score': 0.47091007}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.3221527}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.29703707}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.1848014}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.08758241}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s0002-9939-1991-1065941-8', 'pdf_url': 'https://www.ams.org/proc/1991-112-04/S0002-9939-1991-1065941-8/S0002-9939-1991-1065941-8.pdf', 'source': {'id': 'https://openalex.org/S4210226894', 'display_name': 'Proceedings of the American Mathematical Society', 'issn_l': '0002-9939', 'issn': ['0002-9939', '1088-6826'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s0002-9939-1991-1065941-8', 'pdf_url': 'https://www.ams.org/proc/1991-112-04/S0002-9939-1991-1065941-8/S0002-9939-1991-1065941-8.pdf', 'source': {'id': 'https://openalex.org/S4210226894', 'display_name': 'Proceedings of the American Mathematical Society', 'issn_l': '0002-9939', 'issn': ['0002-9939', '1088-6826'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 7, 'referenced_works': ['https://openalex.org/W1538820575', 'https://openalex.org/W1974890591', 'https://openalex.org/W2017175270', 'https://openalex.org/W2170906055', 'https://openalex.org/W2240675347', 'https://openalex.org/W2318132309', 'https://openalex.org/W3048262514'], 'related_works': ['https://openalex.org/W4241094354', 'https://openalex.org/W4237107081', 'https://openalex.org/W3105245946', 'https://openalex.org/W2952207848', 'https://openalex.org/W2386116570', 'https://openalex.org/W2090132053', 'https://openalex.org/W2060542026', 'https://openalex.org/W2047094556', 'https://openalex.org/W2044887387', 'https://openalex.org/W1630132514'], 'abstract_inverted_index': {'If': [0], '<inline-formula': [1, 25, 51], 'content-type="math/mathml">': [2, 26, 52], '<mml:math': [3, 27, 53], 'xmlns:mml="http://www.w3.org/1998/Math/MathML"': [4, 28, 54], 'alttext="upper': [5, 29, 55], 'A">': [6, 30, 56], '<mml:semantics>': [7, 31, 57], '<mml:mi>A</mml:mi>': [8, 32, 58], '<mml:annotation': [9, 33, 59], 'encoding="application/x-tex">A</mml:annotation>': [10, 34, 60], '</mml:semantics>': [11, 35, 61], '</mml:math>': [12, 36, 62], '</inline-formula>': [13, 37, 63], 'is': [14, 20, 43], 'a': [15, 21, 47], 'primitive': [16], 'matrix,': [17], 'then': [18], 'there': [19], 'smallest': [22, 48], 'power': [23, 49], 'of': [24, 50], '(its': [38, 64], 'fully': [39, 44, 66, 75], 'indecomposable': [40, 67], 'exponent)': [41, 68], 'that': [42], 'indecomposable,': [45], 'and': [46], 'strict': [65], 'starting': [69], 'from': [70], 'which': [71], 'all': [72], 'powers': [73], 'are': [74], 'indecomposable.': [76], 'We': [77], 'obtain': [78], 'bounds': [79], 'on': [80], 'these': [81], 'two': [82], 'exponents.': [83]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2024371017', 'counts_by_year': [], 'updated_date': '2024-12-13T16:26:47.665068', 'created_date': '2016-06-24'}