{"id":"https://openalex.org/W1662292901","doi":"https://doi.org/10.1142/s021819671550037x","title":"Variants of finite full transformation semigroups","display_name":"Variants of finite full transformation semigroups","publication_year":2015,"publication_date":"2015-10-27","ids":{"openalex":"https://openalex.org/W1662292901","doi":"https://doi.org/10.1142/s021819671550037x","mag":"1662292901"},"language":"en","primary_location":{"id":"doi:10.1142/s021819671550037x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819671550037x","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"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":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1410.5253","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Igor Dolinka","orcid":null},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Igor Dolinka","raw_affiliation_strings":["Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21101 Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21101 Novi Sad, Serbia","institution_ids":["https://openalex.org/I170726198"]}]},{"author_position":"last","author":{"id":null,"display_name":"James East","orcid":null},"institutions":[{"id":"https://openalex.org/I63525965","display_name":"Western Sydney University","ror":"https://ror.org/03t52dk35","country_code":"AU","type":"education","lineage":["https://openalex.org/I63525965"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"James East","raw_affiliation_strings":["Centre for Research in Mathematics, School of Computing, Engineering and Mathematics, Western Sydney University, Locked Bag 1797, Penrith NSW 2751, Australia"],"affiliations":[{"raw_affiliation_string":"Centre for Research in Mathematics, School of Computing, Engineering and Mathematics, Western Sydney University, Locked Bag 1797, Penrith NSW 2751, Australia","institution_ids":["https://openalex.org/I63525965"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I170726198"],"apc_list":null,"apc_paid":null,"fwci":3.6487,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.93029051,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"25","issue":"08","first_page":"1187","last_page":"1222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.8819000124931335,"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":0.8819000124931335,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.05220000073313713,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.019200000911951065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7840999960899353},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.7821999788284302},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6097000241279602},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.538100004196167},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.499099999666214},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4708000123500824},{"id":"https://openalex.org/keywords/regular-semigroup","display_name":"Regular semigroup","score":0.41040000319480896}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9325000047683716},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7840999960899353},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.7821999788284302},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6097000241279602},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.538100004196167},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.499099999666214},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4708000123500824},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45010000467300415},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4138999879360199},{"id":"https://openalex.org/C2776380127","wikidata":"https://www.wikidata.org/wiki/Q3022119","display_name":"Regular semigroup","level":4,"score":0.41040000319480896},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3959999978542328},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.387800008058548},{"id":"https://openalex.org/C18116961","wikidata":"https://www.wikidata.org/wiki/Q734209","display_name":"Generating set of a group","level":2,"score":0.37459999322891235},{"id":"https://openalex.org/C46149467","wikidata":"https://www.wikidata.org/wiki/Q7574800","display_name":"Special classes of semigroups","level":3,"score":0.33730000257492065},{"id":"https://openalex.org/C21112865","wikidata":"https://www.wikidata.org/wiki/Q5031372","display_name":"Cancellative semigroup","level":3,"score":0.3368000090122223},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3314000070095062},{"id":"https://openalex.org/C40417594","wikidata":"https://www.wikidata.org/wiki/Q3022111","display_name":"Bicyclic semigroup","level":3,"score":0.326200008392334},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C196773441","wikidata":"https://www.wikidata.org/wiki/Q1475294","display_name":"Maximal element","level":3,"score":0.2513999938964844}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s021819671550037x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819671550037x","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"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":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1410.5253","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1410.5253","pdf_url":"https://arxiv.org/pdf/1410.5253","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1410.5253","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1410.5253","pdf_url":"https://arxiv.org/pdf/1410.5253","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W1487875360","https://openalex.org/W1518573520","https://openalex.org/W1532289288","https://openalex.org/W1967530563","https://openalex.org/W1969737285","https://openalex.org/W1976663252","https://openalex.org/W1980946206","https://openalex.org/W1981611171","https://openalex.org/W1986781620","https://openalex.org/W1992210634","https://openalex.org/W1992744926","https://openalex.org/W1995666405","https://openalex.org/W2002076036","https://openalex.org/W2004061961","https://openalex.org/W2004337741","https://openalex.org/W2012077059","https://openalex.org/W2021790291","https://openalex.org/W2022872574","https://openalex.org/W2025324965","https://openalex.org/W2030571668","https://openalex.org/W2030787729","https://openalex.org/W2031286632","https://openalex.org/W2037745397","https://openalex.org/W2040794730","https://openalex.org/W2050344071","https://openalex.org/W2051053240","https://openalex.org/W2052621380","https://openalex.org/W2052694929","https://openalex.org/W2061537866","https://openalex.org/W2066257048","https://openalex.org/W2067307679","https://openalex.org/W2076482594","https://openalex.org/W2078436604","https://openalex.org/W2079876213","https://openalex.org/W2085009008","https://openalex.org/W2088078420","https://openalex.org/W2091903125","https://openalex.org/W2094512319","https://openalex.org/W2101387847","https://openalex.org/W2105030706","https://openalex.org/W2105356192","https://openalex.org/W2110769921","https://openalex.org/W2111634691","https://openalex.org/W2113717169","https://openalex.org/W2115892502","https://openalex.org/W2118209939","https://openalex.org/W2125853847","https://openalex.org/W2128126601","https://openalex.org/W2132261292","https://openalex.org/W2137609875","https://openalex.org/W2139789349","https://openalex.org/W2141641421","https://openalex.org/W2144487845","https://openalex.org/W2164488308","https://openalex.org/W2324817082","https://openalex.org/W2327731617","https://openalex.org/W2329128604","https://openalex.org/W2488025056","https://openalex.org/W3047991606"],"related_works":[],"abstract_inverted_index":{"The":[0],"variant":[1],"of":[2,50,69,82,91,94,99,115,123,127],"a":[3,59],"semigroup":[4,22,54],"[Formula:":[5,13,17,26,34,38,47,55,62,70,78,87,100],"see":[6,14,18,27,35,39,48,56,63,71,79,88,101],"text]":[7,28,36,49,57,72,80,89],"with":[8,23],"respect":[9],"to":[10],"an":[11],"element":[12],"text],":[15,19],"denoted":[16],"is":[20],"the":[21,51,67,97,108,121,128],"underlying":[24],"set":[25,61],"and":[29,86,96,110,118],"operation":[30],"\u22c6":[31],"defined":[32],"by":[33],"for":[37],"text].":[40,64,102],"In":[41],"this":[42],"paper,":[43],"we":[44,106],"study":[45],"variants":[46],"full":[52],"transformation":[53],"on":[58],"finite":[60],"We":[65],"explore":[66],"structure":[68],"as":[73,75],"well":[74],"its":[76],"subsemigroups":[77],"(consisting":[81,90],"all":[83,92],"regular":[84],"elements)":[85],"products":[93],"idempotents),":[95],"ideals":[98],"Among":[103],"other":[104],"results,":[105],"calculate":[107],"rank":[109,112],"idempotent":[111],"(if":[113],"applicable)":[114],"each":[116],"semigroup,":[117],"(where":[119],"possible)":[120],"number":[122],"(idempotent)":[124],"generating":[125],"sets":[126],"minimal":[129],"possible":[130],"size.":[131]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
