{"id":"https://openalex.org/W7216873804","doi":null,"title":"Characterization of Some Regular Relational Hypersubstitutions for Algebraic Systems","display_name":"Characterization of Some Regular Relational Hypersubstitutions for Algebraic Systems","publication_year":2023,"publication_date":"2023-07-27","ids":{"openalex":"https://openalex.org/W7216873804"},"language":"en","primary_location":{"id":"pmh:oai:ojs2.thaijmath.com:article/1462","doi":null,"is_oa":true,"landing_page_url":"https://thaijmath.com/index.php/index/article/view/1462","pdf_url":null,"source":{"id":"https://openalex.org/S2764954419","display_name":"Thai Journal of Mathematics","issn_l":"1686-0209","issn":["1686-0209"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319374","host_organization_name":"Chiang Mai University","host_organization_lineage":["https://openalex.org/P4310319374"],"host_organization_lineage_names":["Chiang Mai University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1686-0209","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://thaijmath.com/index.php/index/article/view/1462","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006640349","display_name":"Jukkrit Daengsaen","orcid":"https://orcid.org/0000-0001-6722-6483","observed_orcids":["https://orcid.org/0000-0001-6722-6483"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daengsaen, Jukkrit","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5064270698","display_name":"Sorasak Leeratanavalee","orcid":"https://orcid.org/0000-0001-8818-6134","observed_orcids":["https://orcid.org/0000-0001-8818-6134"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leeratanavalee, Sorasak","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.8026999831199646,"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":0.8026999831199646,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.19179999828338623,"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/T12504","display_name":"Mathematics and Applications","score":0.0012000000569969416,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-structures","display_name":"algebraic structures","score":0.8619999885559082},{"id":"https://openalex.org/keywords/regular-elements","display_name":"regular elements","score":0.6790000200271606},{"id":"https://openalex.org/keywords/semigroup-theory","display_name":"semigroup theory","score":0.640999972820282},{"id":"https://openalex.org/keywords/universal-algebra","display_name":"universal algebra","score":0.6420000195503235},{"id":"https://openalex.org/keywords/relational-terms","display_name":"relational terms","score":0.6010000109672546}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8481000065803528},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.7864000201225281},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.6169000267982483},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5590000152587891},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5465999841690063},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5414999723434448},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.4984999895095825},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.48660001158714294},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.48330000042915344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4620000123977661},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.45649999380111694},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.42149999737739563},{"id":"https://openalex.org/C2989065042","wikidata":"https://www.wikidata.org/wiki/Q7378971","display_name":"Algebraic properties","level":2,"score":0.4106999933719635},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.392300009727478},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.37779998779296875},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.3582000136375427},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3418999910354614},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.321399986743927},{"id":"https://openalex.org/C188971069","wikidata":"https://www.wikidata.org/wiki/Q1636734","display_name":"Universal algebra","level":3,"score":0.3163999915122986},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3158000111579895},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.31200000643730164},{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.2948000133037567},{"id":"https://openalex.org/C40417594","wikidata":"https://www.wikidata.org/wiki/Q3022111","display_name":"Bicyclic semigroup","level":3,"score":0.2854999899864197},{"id":"https://openalex.org/C2779782106","wikidata":"https://www.wikidata.org/wiki/Q4724020","display_name":"Algebraic theory","level":3,"score":0.2842999994754791},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.26820001006126404},{"id":"https://openalex.org/C136003732","wikidata":"https://www.wikidata.org/wiki/Q3854337","display_name":"Algebraic operation","level":3,"score":0.26759999990463257},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.2506999969482422}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:ojs2.thaijmath.com:article/1462","doi":null,"is_oa":true,"landing_page_url":"https://thaijmath.com/index.php/index/article/view/1462","pdf_url":null,"source":{"id":"https://openalex.org/S2764954419","display_name":"Thai Journal of Mathematics","issn_l":"1686-0209","issn":["1686-0209"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319374","host_organization_name":"Chiang Mai University","host_organization_lineage":["https://openalex.org/P4310319374"],"host_organization_lineage_names":["Chiang Mai University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1686-0209","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ojs2.thaijmath.com:article/1462","doi":null,"is_oa":true,"landing_page_url":"https://thaijmath.com/index.php/index/article/view/1462","pdf_url":null,"source":{"id":"https://openalex.org/S2764954419","display_name":"Thai Journal of Mathematics","issn_l":"1686-0209","issn":["1686-0209"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319374","host_organization_name":"Chiang Mai University","host_organization_lineage":["https://openalex.org/P4310319374"],"host_organization_lineage_names":["Chiang Mai University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1686-0209","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4404213202","https://openalex.org/W3152348524","https://openalex.org/W7219545864","https://openalex.org/W2986149302","https://openalex.org/W4382280984","https://openalex.org/W2169815440","https://openalex.org/W2941398969","https://openalex.org/W2988383904","https://openalex.org/W7113379223","https://openalex.org/W7218050258"],"abstract_inverted_index":{"An":[0],"algebraic":[1,36,78,99],"system":[2],"is":[3,38],"a":[4,9,14,19,32,39,46,112],"structure":[5],"which":[6,23,56,86],"consists":[7],"of":[8,16,21,31,42,45,73,96,102,104,116,134,144,147,156,164,169],"nonempty":[10],"set":[11,72,133,155,163],"together":[12,80],"with":[13,81],"sequence":[15,20],"operations":[17],"and":[18,62,140,161],"relations":[22],"are":[24,54,121,172],"defined":[25,88],"on":[26],"the":[27,43,117,132,154,162,173],"set.":[28],"The":[29,71,94,114,150],"concept":[30,44,115],"relational":[33,52,67,75],"hypersubstitution":[34,47],"for":[35,48,77,98],"systems":[37,79],"canonical":[40],"extension":[41],"universal":[49],"algebras.":[50],"Such":[51],"hypersubstitutions":[53,76,97],"mappings":[55],"map":[57,63],"operation":[58],"symbols":[59,65],"to":[60,66],"terms":[61,68],"relation":[64],"preserving":[69],"arities.":[70],"all":[74,135,157,165],"an":[82],"associative":[83],"binary":[84],"operation,":[85],"was":[87],"in":[89,124],"[D.":[90],"Phusanga,":[91],"J.":[92],"Koppitz,":[93],"monoid":[95,146,171],"systems,":[100],"Announcements":[101],"Union":[103],"Scientists":[105],"Silven":[106],"33":[107],"(1)":[108],"(2018)":[109],"119-126],":[110],"forms":[111],"monoid.":[113],"special":[118],"regular":[119,139,142,159,167],"elements":[120,143,160,168],"important":[122],"role":[123],"semigroup":[125],"theory.":[126],"In":[127],"this":[128,145,170],"paper,":[129],"we":[130],"characterize":[131],"completely":[136,158],"regular,":[137],"left":[138],"right":[141],"type":[148],"$((m),(n))$.":[149],"results":[151],"show":[152],"that":[153],"left(right)":[166],"same.":[174]},"counts_by_year":[],"updated_date":"2026-10-04T09:36:47.201465","created_date":"2026-10-03T00:00:00"}
