{"id":"https://openalex.org/W4386284030","doi":"https://doi.org/10.3390/sym15091668","title":"On Cyclic LA-Hypergroups","display_name":"On Cyclic LA-Hypergroups","publication_year":2023,"publication_date":"2023-08-30","ids":{"openalex":"https://openalex.org/W4386284030","doi":"https://doi.org/10.3390/sym15091668"},"language":"en","primary_location":{"id":"doi:10.3390/sym15091668","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15091668","pdf_url":"https://www.mdpi.com/2073-8994/15/9/1668/pdf?version=1693382217","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/9/1668/pdf?version=1693382217","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092817449","display_name":"Shehzadi Salma Kanwal","orcid":null},"institutions":[{"id":"https://openalex.org/I195024194","display_name":"Riphah International University","ror":"https://ror.org/02kdm5630","country_code":"PK","type":"education","lineage":["https://openalex.org/I195024194"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Shehzadi Salma Kanwal","raw_affiliation_strings":["Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad 44000, Pakistan"],"raw_orcid":"https://orcid.org/0009-0003-1188-9255","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I195024194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026211730","display_name":"Naveed Yaqoob","orcid":"https://orcid.org/0000-0002-5362-9916"},"institutions":[{"id":"https://openalex.org/I195024194","display_name":"Riphah International University","ror":"https://ror.org/02kdm5630","country_code":"PK","type":"education","lineage":["https://openalex.org/I195024194"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Naveed Yaqoob","raw_affiliation_strings":["Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad 44000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-5362-9916","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I195024194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028194255","display_name":"Nabilah Abughazalah","orcid":"https://orcid.org/0000-0002-5529-0565"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Nabilah Abughazalah","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-5529-0565","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030602859","display_name":"Muhammad Gulistan","orcid":"https://orcid.org/0000-0002-0314-876X"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Muhammad Gulistan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB T6G 2R3, Canada"],"raw_orcid":"https://orcid.org/0000-0002-0314-876X","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB T6G 2R3, Canada","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026211730"],"corresponding_institution_ids":["https://openalex.org/I195024194"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13983625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"9","first_page":"1668","last_page":"1668"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9625999927520752,"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"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9114000201225281,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8914777040481567},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6580517292022705},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5810746550559998},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5785393118858337},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5372495651245117},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3937118947505951},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09526443481445312}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8914777040481567},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6580517292022705},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5810746550559998},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5785393118858337},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5372495651245117},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3937118947505951},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09526443481445312},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15091668","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15091668","pdf_url":"https://www.mdpi.com/2073-8994/15/9/1668/pdf?version=1693382217","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ad7bd79baf2148179f3efd3618ceea5c","is_oa":false,"landing_page_url":"https://doaj.org/article/ad7bd79baf2148179f3efd3618ceea5c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 9, p 1668 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/9/1668/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15091668","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15091668","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15091668","pdf_url":"https://www.mdpi.com/2073-8994/15/9/1668/pdf?version=1693382217","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386284030.pdf"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W614768203","https://openalex.org/W2057176734","https://openalex.org/W2071382693","https://openalex.org/W2129989425","https://openalex.org/W2248952534","https://openalex.org/W2490094338","https://openalex.org/W2567497827","https://openalex.org/W2762434144","https://openalex.org/W2902780356","https://openalex.org/W3188636032","https://openalex.org/W3193885405","https://openalex.org/W4318620253","https://openalex.org/W4319994193","https://openalex.org/W4365397491","https://openalex.org/W4384383094","https://openalex.org/W4385462350","https://openalex.org/W4385636759","https://openalex.org/W6679237825","https://openalex.org/W6691440511","https://openalex.org/W6771607261","https://openalex.org/W6904619550"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3001284428","https://openalex.org/W2248715553","https://openalex.org/W2338502647","https://openalex.org/W2285136996","https://openalex.org/W4299388153","https://openalex.org/W1989629559","https://openalex.org/W2948692897","https://openalex.org/W4392932749","https://openalex.org/W3165314336"],"abstract_inverted_index":{"Symmetries":[0],"in":[1],"the":[2,13,40,54],"context":[3],"of":[4,22,36,47,56,62,72],"hypergroups":[5],"and":[6,16,49,70],"their":[7,73],"generalizations":[8],"are":[9,27,75],"closely":[10],"related":[11],"to":[12],"algebraic":[14],"structures":[15],"transformations":[17],"that":[18,43],"preserve":[19],"certain":[20],"properties":[21,74],"hypergroup":[23],"operations.":[24],"Symmetric":[25],"LA-hypergroups":[26,69],"indeed":[28],"commutative":[29],"hypergroups.":[30,51],"This":[31],"paper":[32],"considers":[33],"a":[34,45],"category":[35],"cyclic":[37,41,50,57,64,68],"hyperstructures":[38],"called":[39],"LA-semihypergroup":[42],"is":[44],"conception":[46],"LA-semihypergroups":[48],"We":[52],"inaugurate":[53],"idea":[55],"LA-hypergroups.":[58],"The":[59],"interconnected":[60],"notions":[61],"single-power":[63],"LA-hypergroups,":[65],"non-single":[66],"power":[67],"some":[71],"explored.":[76]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
