{"id":"https://openalex.org/W2762434144","doi":"https://doi.org/10.1142/s1793830917500707","title":"Commutative single power cyclic hypergroups of order three and period two","display_name":"Commutative single power cyclic hypergroups of order three and period two","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2762434144","doi":"https://doi.org/10.1142/s1793830917500707","mag":"2762434144"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830917500707","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500707","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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":null,"display_name":"M. Al Tahan","orcid":null},"institutions":[{"id":"https://openalex.org/I911468752","display_name":"Lebanese International University","ror":"https://ror.org/034agrd14","country_code":"LB","type":"education","lineage":["https://openalex.org/I911468752"]}],"countries":["LB"],"is_corresponding":true,"raw_author_name":"M. Al Tahan","raw_affiliation_strings":["Department of Mathematics, Lebanese International University, Beirut, Lebanon"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lebanese International University, Beirut, Lebanon","institution_ids":["https://openalex.org/I911468752"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012148158","display_name":"Bijan Davvaz","orcid":"https://orcid.org/0000-0003-1941-5372"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"B. Davvaz","raw_affiliation_strings":["Department of Mathematics, Yazd University, Yazd, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I911468752"],"apc_list":null,"apc_paid":null,"fwci":1.172,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76509918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"09","issue":"05","first_page":"1750070","last_page":"1750070"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9824000000953674,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9824000000953674,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.972599983215332,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9696000218391418,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8805968761444092},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.777012825012207},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5927916169166565},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5524786114692688},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5472726821899414},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.5362239480018616},{"id":"https://openalex.org/keywords/cyclic-group","display_name":"Cyclic group","score":0.4875721335411072},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33969563245773315}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8805968761444092},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.777012825012207},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5927916169166565},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5524786114692688},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5472726821899414},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.5362239480018616},{"id":"https://openalex.org/C20725272","wikidata":"https://www.wikidata.org/wiki/Q245462","display_name":"Cyclic group","level":3,"score":0.4875721335411072},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33969563245773315},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830917500707","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500707","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320313608","display_name":"Yazd University","ror":"https://ror.org/02x99ac45"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W614768203","https://openalex.org/W2370832319","https://openalex.org/W3023953025","https://openalex.org/W3117201727","https://openalex.org/W4214940931"],"related_works":["https://openalex.org/W2594491092","https://openalex.org/W2963288955","https://openalex.org/W2368341314","https://openalex.org/W2601315865","https://openalex.org/W1954846941","https://openalex.org/W2061776474","https://openalex.org/W2136294907","https://openalex.org/W2373801352","https://openalex.org/W2567497827","https://openalex.org/W3092846784"],"abstract_inverted_index":{"Cyclic":[0],"hypergroups":[1,25],"are":[2],"of":[3,26],"great":[4],"importance":[5],"due":[6],"to":[7,10],"their":[8],"applications":[9],"many":[11],"fields":[12],"in":[13],"mathematics.":[14],"In":[15],"this":[16],"paper,":[17],"we":[18,33],"classify":[19],"all":[20],"commutative":[21],"single":[22],"power":[23],"cyclic":[24,40],"order":[27],"three":[28],"and":[29],"period":[30],"two.":[31],"Moreover,":[32],"prove":[34],"some":[35],"new":[36],"interesting":[37],"properties":[38],"regarding":[39],"hypergroups.":[41]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
