{"id":"https://openalex.org/W2000479349","doi":"https://doi.org/10.12732/ijpam.v90i3.4","title":"V-TRANSFORMATION OF STRONG VARIETIES OF PARTIAL ALGEBRAS","display_name":"V-TRANSFORMATION OF STRONG VARIETIES OF PARTIAL ALGEBRAS","publication_year":2014,"publication_date":"2014-01-30","ids":{"openalex":"https://openalex.org/W2000479349","doi":"https://doi.org/10.12732/ijpam.v90i3.4","mag":"2000479349"},"language":"en","primary_location":{"id":"doi:10.12732/ijpam.v90i3.4","doi":"https://doi.org/10.12732/ijpam.v90i3.4","is_oa":true,"landing_page_url":"https://doi.org/10.12732/ijpam.v90i3.4","pdf_url":"https://ijpam.eu/contents/2014-90-3/4/4.pdf","source":{"id":"https://openalex.org/S2764510598","display_name":"International Journal of Pure and Apllied Mathematics","issn_l":"1314-3395","issn":["1314-3395","1311-8080"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4323293545","host_organization_name":"Academic Publications","host_organization_lineage":["https://openalex.org/P4323293545"],"host_organization_lineage_names":["Academic Publications"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Pure and Apllied Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://ijpam.eu/contents/2014-90-3/4/4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049619070","display_name":"Saofee Busaman","orcid":"https://orcid.org/0000-0001-6805-8362","observed_orcids":["https://orcid.org/0000-0001-6805-8362"]},"institutions":[{"id":"https://openalex.org/I131868736","display_name":"Prince of Songkla University","ror":"https://ror.org/0575ycz84","country_code":"TH","type":"education","lineage":["https://openalex.org/I131868736"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"S. Busaman","raw_affiliation_strings":["Department of Mathematics and Computer Science","Faculty of Science and Technology Prince of Songkla University Pattani Campus 181 Rusamilae Muang Pattani 94000 , THAILAND","Department of Mathematics and Computer Science Faculty of Science and Technology Prince of Songkla University Pattani Campus 181 Rusamilae Muang Pattani 94000, THAILAND"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science","institution_ids":[]},{"raw_affiliation_string":"Faculty of Science and Technology Prince of Songkla University Pattani Campus 181 Rusamilae Muang Pattani 94000 , THAILAND","institution_ids":["https://openalex.org/I131868736"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science Faculty of Science and Technology Prince of Songkla University Pattani Campus 181 Rusamilae Muang Pattani 94000, THAILAND","institution_ids":["https://openalex.org/I131868736"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049619070"],"corresponding_institution_ids":["https://openalex.org/I131868736"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0780439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"90","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9984999895095825,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9984999895095825,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.0005000000237487257,"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/T11567","display_name":"semigroups and automata theory","score":0.0003000000142492354,"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/partial-algebras","display_name":"partial algebras","score":0.996999979019165},{"id":"https://openalex.org/keywords/binary-relations","display_name":"binary relations","score":0.8980000019073486},{"id":"https://openalex.org/keywords/bijections","display_name":"bijections","score":0.6000000238418579},{"id":"https://openalex.org/keywords/composition-of-relations","display_name":"relation composition","score":0.7120000123977661},{"id":"https://openalex.org/keywords/inverse-relations","display_name":"inverse relations","score":0.5759999752044678}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.9110135436058044},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.8835735321044922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.760146975517273},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.625892162322998},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6203390955924988},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5561681985855103},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.5498782992362976},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.47716087102890015},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42022082209587097},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.4150611460208893},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30359870195388794},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25914978981018066},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.19884634017944336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10588574409484863},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0942288339138031},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07419103384017944},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05999132990837097},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05836021900177002},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.12732/ijpam.v90i3.4","doi":"https://doi.org/10.12732/ijpam.v90i3.4","is_oa":true,"landing_page_url":"https://doi.org/10.12732/ijpam.v90i3.4","pdf_url":"https://ijpam.eu/contents/2014-90-3/4/4.pdf","source":{"id":"https://openalex.org/S2764510598","display_name":"International Journal of Pure and Apllied Mathematics","issn_l":"1314-3395","issn":["1314-3395","1311-8080"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4323293545","host_organization_name":"Academic Publications","host_organization_lineage":["https://openalex.org/P4323293545"],"host_organization_lineage_names":["Academic Publications"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Pure and Apllied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.12732/ijpam.v90i3.4","doi":"https://doi.org/10.12732/ijpam.v90i3.4","is_oa":true,"landing_page_url":"https://doi.org/10.12732/ijpam.v90i3.4","pdf_url":"https://ijpam.eu/contents/2014-90-3/4/4.pdf","source":{"id":"https://openalex.org/S2764510598","display_name":"International Journal of Pure and Apllied Mathematics","issn_l":"1314-3395","issn":["1314-3395","1311-8080"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4323293545","host_organization_name":"Academic Publications","host_organization_lineage":["https://openalex.org/P4323293545"],"host_organization_lineage_names":["Academic Publications"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Pure and Apllied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000479349.pdf","grobid_xml":"https://content.openalex.org/works/W2000479349.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1522302592","https://openalex.org/W2068214887","https://openalex.org/W2146950476"],"related_works":["https://openalex.org/W4288805235","https://openalex.org/W2952259524","https://openalex.org/W1508013399","https://openalex.org/W2995857455","https://openalex.org/W2027277382","https://openalex.org/W4287020903","https://openalex.org/W2998840281","https://openalex.org/W4283804497","https://openalex.org/W2379390860","https://openalex.org/W3082873676"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"define":[4],"V-transformation":[5,9,14],"and":[6],"prove":[7],"that":[8],"is":[10,15],"a":[11,16],"bijective":[12],"if":[13],"composition":[17],"of":[18,23,29],"binary":[19],"relations":[20],"with":[21],"inverse":[22],"itself":[24],"then":[25],"equal":[26],"relation":[27],"delte":[28],"C-terms.":[30]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-09-08T07:41:39.490200","created_date":"2025-10-10T00:00:00"}
