{"id":"https://openalex.org/W2080199918","doi":"https://doi.org/10.1007/s10998-013-7039-1","title":"The regular graph of a commutative ring","display_name":"The regular graph of a commutative ring","publication_year":2013,"publication_date":"2013-08-16","ids":{"openalex":"https://openalex.org/W2080199918","doi":"https://doi.org/10.1007/s10998-013-7039-1","mag":"2080199918"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-013-7039-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-013-7039-1","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060541368","display_name":"Saieed Akbari","orcid":"https://orcid.org/0000-0001-8994-8858"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"S. Akbari","raw_affiliation_strings":["Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran","Sharif University of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]},{"raw_affiliation_string":"Sharif University of Technology","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001007399","display_name":"F. Heydari","orcid":"https://orcid.org/0000-0002-8944-4729"},"institutions":[{"id":"https://openalex.org/I110525433","display_name":"Islamic Azad University, Tehran","ror":"https://ror.org/01kzn7k21","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433"]},{"id":"https://openalex.org/I204588832","display_name":"Islamic Azad University, Karaj","ror":"https://ror.org/01y4xm534","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I204588832"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"F. Heydari","raw_affiliation_strings":["Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran","Islamic Azad, University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran","institution_ids":["https://openalex.org/I204588832"]},{"raw_affiliation_string":"Islamic Azad, University","institution_ids":["https://openalex.org/I110525433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060541368"],"corresponding_institution_ids":["https://openalex.org/I133529467"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6026,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.66706349,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"67","issue":"2","first_page":"211","last_page":"220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9923999905586243,"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"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9916999936103821,"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/mathematics","display_name":"Mathematics","score":0.8985449075698853},{"id":"https://openalex.org/keywords/clique-number","display_name":"Clique number","score":0.7887281179428101},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7729747891426086},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.6939487457275391},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5614543557167053},{"id":"https://openalex.org/keywords/reduced-ring","display_name":"Reduced ring","score":0.49342790246009827},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.45266589522361755},{"id":"https://openalex.org/keywords/noetherian-ring","display_name":"Noetherian ring","score":0.44612541794776917},{"id":"https://openalex.org/keywords/zero-divisor","display_name":"Zero divisor","score":0.4426565170288086},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44061240553855896},{"id":"https://openalex.org/keywords/principal-ideal-ring","display_name":"Principal ideal ring","score":0.407240629196167},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.1445256471633911}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8985449075698853},{"id":"https://openalex.org/C2985491264","wikidata":"https://www.wikidata.org/wiki/Q761631","display_name":"Clique number","level":3,"score":0.7887281179428101},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7729747891426086},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.6939487457275391},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5614543557167053},{"id":"https://openalex.org/C100044566","wikidata":"https://www.wikidata.org/wiki/Q6423024","display_name":"Reduced ring","level":5,"score":0.49342790246009827},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.45266589522361755},{"id":"https://openalex.org/C2777726979","wikidata":"https://www.wikidata.org/wiki/Q582271","display_name":"Noetherian ring","level":3,"score":0.44612541794776917},{"id":"https://openalex.org/C9555016","wikidata":"https://www.wikidata.org/wiki/Q828111","display_name":"Zero divisor","level":2,"score":0.4426565170288086},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44061240553855896},{"id":"https://openalex.org/C156923205","wikidata":"https://www.wikidata.org/wiki/Q2905043","display_name":"Principal ideal ring","level":4,"score":0.407240629196167},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.1445256471633911}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-013-7039-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-013-7039-1","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1546118031","https://openalex.org/W1561067506","https://openalex.org/W2014392116","https://openalex.org/W2044882319","https://openalex.org/W2049707341","https://openalex.org/W4212819720","https://openalex.org/W4296292757"],"related_works":["https://openalex.org/W317276073","https://openalex.org/W2051122522","https://openalex.org/W4294558051","https://openalex.org/W2096073785","https://openalex.org/W2278953668","https://openalex.org/W4205993708","https://openalex.org/W2066895429","https://openalex.org/W2054757442","https://openalex.org/W3099421361","https://openalex.org/W2001264270"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
