{"id":"https://openalex.org/W3209571057","doi":"https://doi.org/10.3390/sym13112035","title":"A Note on the Connection between Ordered Semihyperrings","display_name":"A Note on the Connection between Ordered Semihyperrings","publication_year":2021,"publication_date":"2021-10-28","ids":{"openalex":"https://openalex.org/W3209571057","doi":"https://doi.org/10.3390/sym13112035","mag":"3209571057"},"language":"en","primary_location":{"id":"doi:10.3390/sym13112035","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13112035","pdf_url":"https://www.mdpi.com/2073-8994/13/11/2035/pdf?version=1635414847","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","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/11/2035/pdf?version=1635414847","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081956455","display_name":"Zheng Kou","orcid":"https://orcid.org/0000-0003-4758-2872"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng Kou","raw_affiliation_strings":["Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062707037","display_name":"Saeed Kosari","orcid":"https://orcid.org/0000-0002-1427-5473"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Saeed Kosari","raw_affiliation_strings":["Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015889067","display_name":"Mohammadsadegh Monemrad","orcid":null},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mohammadsadegh Monemrad","raw_affiliation_strings":["Institute of Mathematics, Hamburg University of Technology, 21073 Hamburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Hamburg University of Technology, 21073 Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087469358","display_name":"Maryam Akhoundi","orcid":"https://orcid.org/0000-0002-2419-1732"},"institutions":[{"id":"https://openalex.org/I70876197","display_name":"Babol University of Medical Sciences","ror":"https://ror.org/02r5cmz65","country_code":"IR","type":"education","lineage":["https://openalex.org/I70876197"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Maryam Akhoundi","raw_affiliation_strings":["Clinical Research Development Unit of Rouhani Hospital, Babol University of Medical Sciences, Babol 4717647745, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Clinical Research Development Unit of Rouhani Hospital, Babol University of Medical Sciences, Babol 4717647745, Iran","institution_ids":["https://openalex.org/I70876197"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068963865","display_name":"Saber Omidi","orcid":"https://orcid.org/0000-0002-8487-9758"},"institutions":[{"id":"https://openalex.org/I4210108141","display_name":"Ministry of Education","ror":"https://ror.org/01hw7wf62","country_code":"IR","type":"government","lineage":["https://openalex.org/I4210108141"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Saber Omidi","raw_affiliation_strings":["Department of Education in Tehran, Ministry of Education Iran, Tehran 1511943943, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Education in Tehran, Ministry of Education Iran, Tehran 1511943943, Iran","institution_ids":["https://openalex.org/I4210108141"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5062707037"],"corresponding_institution_ids":["https://openalex.org/I37987034"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":1.2659,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.80435186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"13","issue":"11","first_page":"2035","last_page":"2035"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9933000206947327,"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":0.9933000206947327,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9833999872207642,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9746000170707703,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.8995218276977539},{"id":"https://openalex.org/keywords/galois-connection","display_name":"Galois connection","score":0.8821330070495605},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.8417105674743652},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.7481390237808228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6293715834617615},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5058224201202393},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.406879723072052},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36620408296585083},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33825600147247314},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29364991188049316},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07095301151275635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06952664256095886},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04649040102958679}],"concepts":[{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.8995218276977539},{"id":"https://openalex.org/C2777573902","wikidata":"https://www.wikidata.org/wiki/Q1491747","display_name":"Galois connection","level":2,"score":0.8821330070495605},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.8417105674743652},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.7481390237808228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6293715834617615},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5058224201202393},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.406879723072052},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36620408296585083},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33825600147247314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29364991188049316},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07095301151275635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06952664256095886},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04649040102958679}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/sym13112035","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13112035","pdf_url":"https://www.mdpi.com/2073-8994/13/11/2035/pdf?version=1635414847","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:aa5c1b781d8349a3927046ccfde75390","is_oa":true,"landing_page_url":"https://doaj.org/article/aa5c1b781d8349a3927046ccfde75390","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 13, Iss 11, p 2035 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/11/2035/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13112035","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; Volume 13; Issue 11; Pages: 2035","raw_type":"Text"},{"id":"pmh:oai:null:11420/10798","is_oa":true,"landing_page_url":"http://hdl.handle.net/11420/10798","pdf_url":null,"source":{"id":"https://openalex.org/S4306401751","display_name":"tub.dok (Hamburg University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I884043246","host_organization_name":"Hamburg University of Technology","host_organization_lineage":["https://openalex.org/I884043246"],"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":"","raw_type":"Journal Article"},{"id":"doi:10.15480/882.3874","is_oa":true,"landing_page_url":"https://doi.org/10.15480/882.3874","pdf_url":null,"source":{"id":"https://openalex.org/S7407052987","display_name":"TUHH Open Research","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"doi:10.3390/sym13112035","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13112035","pdf_url":"https://www.mdpi.com/2073-8994/13/11/2035/pdf?version=1635414847","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/W3209571057.pdf"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W87906459","https://openalex.org/W1480295317","https://openalex.org/W1991869485","https://openalex.org/W2056838618","https://openalex.org/W2057715074","https://openalex.org/W2069572455","https://openalex.org/W2184403059","https://openalex.org/W2231439918","https://openalex.org/W2340348564","https://openalex.org/W2527131917","https://openalex.org/W2588604001","https://openalex.org/W2790284152","https://openalex.org/W2810985209","https://openalex.org/W2902016642","https://openalex.org/W2962680152","https://openalex.org/W2963646956","https://openalex.org/W3023953025","https://openalex.org/W3118405135","https://openalex.org/W3135149742","https://openalex.org/W3193292636","https://openalex.org/W4385559806","https://openalex.org/W6689428732","https://openalex.org/W6703977120","https://openalex.org/W6766777117"],"related_works":["https://openalex.org/W11025175","https://openalex.org/W2243454487","https://openalex.org/W2295286262","https://openalex.org/W2888580347","https://openalex.org/W4248834559","https://openalex.org/W1764221576","https://openalex.org/W1545576503","https://openalex.org/W2950050586","https://openalex.org/W3209571057","https://openalex.org/W1568478782"],"abstract_inverted_index":{"The":[0],"notion":[1],"of":[2,8,14,37],"ordered":[3,9,23,39,59],"semihyperrings":[4,24],"is":[5,45],"a":[6,12,42],"generalization":[7,13],"semirings":[10],"and":[11,29,55],"semihyperrings.":[15],"In":[16],"this":[17],"paper,":[18],"the":[19,50],"Galois":[20,51],"connection":[21,52],"between":[22,53],"are":[25,33],"studied":[26],"in":[27],"detail":[28],"various":[30],"interesting":[31],"results":[32],"obtained.":[34],"A":[35],"construction":[36],"an":[38,58],"semihyperring":[40],"via":[41],"regular":[43],"relation":[44],"given.":[46],"Furthermore,":[47],"we":[48],"present":[49],"homomorphisms":[54],"derivations":[56],"on":[57],"semihyperring.":[60]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2021-11-08T00:00:00"}
