{"id":"https://openalex.org/W2885128649","doi":"https://doi.org/10.1142/s0218196718400106","title":"Action of endomorphism semigroups on definable sets","display_name":"Action of endomorphism semigroups on definable sets","publication_year":2018,"publication_date":"2018-08-03","ids":{"openalex":"https://openalex.org/W2885128649","doi":"https://doi.org/10.1142/s0218196718400106","mag":"2885128649"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196718400106","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718400106","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":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008351294","display_name":"G. Mashevitzky","orcid":null},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"G. Mashevitzky","raw_affiliation_strings":["Ben Gurion University of the Negev, Beersheba, Israel"],"affiliations":[{"raw_affiliation_string":"Ben Gurion University of the Negev, Beersheba, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030649049","display_name":"B. Plotkin","orcid":null},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"B. Plotkin","raw_affiliation_strings":["Hebrew University, Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"Hebrew University, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108666320","display_name":"Eugene Plotkin","orcid":null},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"E. Plotkin","raw_affiliation_strings":["Bar Ilan University, Ramat Gan 5290002, Israel"],"affiliations":[{"raw_affiliation_string":"Bar Ilan University, Ramat Gan 5290002, Israel","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008351294"],"corresponding_institution_ids":["https://openalex.org/I124227911"],"apc_list":null,"apc_paid":null,"fwci":0.1629,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58048159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"28","issue":"08","first_page":"1585","last_page":"1612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11567","display_name":"semigroups and automata theory","score":0.9941999912261963,"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/mathematics","display_name":"Mathematics","score":0.8137129545211792},{"id":"https://openalex.org/keywords/endomorphism","display_name":"Endomorphism","score":0.7487785816192627},{"id":"https://openalex.org/keywords/unification","display_name":"Unification","score":0.6407820582389832},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5591499209403992},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5243761539459229},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.48748326301574707},{"id":"https://openalex.org/keywords/galois-connection","display_name":"Galois connection","score":0.4725993275642395},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.46901386976242065},{"id":"https://openalex.org/keywords/universal-algebra","display_name":"Universal algebra","score":0.44069749116897583},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3806094229221344},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32409563660621643},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14213961362838745}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8137129545211792},{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.7487785816192627},{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.6407820582389832},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5591499209403992},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5243761539459229},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.48748326301574707},{"id":"https://openalex.org/C2777573902","wikidata":"https://www.wikidata.org/wiki/Q1491747","display_name":"Galois connection","level":2,"score":0.4725993275642395},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.46901386976242065},{"id":"https://openalex.org/C188971069","wikidata":"https://www.wikidata.org/wiki/Q1636734","display_name":"Universal algebra","level":3,"score":0.44069749116897583},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3806094229221344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32409563660621643},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14213961362838745},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196718400106","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718400106","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.4000000059604645}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1026721552","https://openalex.org/W1489438843","https://openalex.org/W1516278578","https://openalex.org/W1538714536","https://openalex.org/W1543877612","https://openalex.org/W1570907360","https://openalex.org/W1583295953","https://openalex.org/W1784570274","https://openalex.org/W1842966858","https://openalex.org/W1992630510","https://openalex.org/W2005237754","https://openalex.org/W2010098417","https://openalex.org/W2014581697","https://openalex.org/W2018470381","https://openalex.org/W2027801085","https://openalex.org/W2031337334","https://openalex.org/W2037036347","https://openalex.org/W2054680237","https://openalex.org/W2055686117","https://openalex.org/W2063168938","https://openalex.org/W2064334592","https://openalex.org/W2069388397","https://openalex.org/W2070051236","https://openalex.org/W2081925316","https://openalex.org/W2108266191","https://openalex.org/W2108989460","https://openalex.org/W2120713972","https://openalex.org/W2125172636","https://openalex.org/W2143859950","https://openalex.org/W2158513360","https://openalex.org/W2166459837","https://openalex.org/W2324647822","https://openalex.org/W2347634588","https://openalex.org/W2471081378","https://openalex.org/W2799061192","https://openalex.org/W2962954075","https://openalex.org/W2964068352","https://openalex.org/W3099481387","https://openalex.org/W3104398743","https://openalex.org/W3104758844","https://openalex.org/W3121566589","https://openalex.org/W4205325251","https://openalex.org/W4210839962","https://openalex.org/W4211036707","https://openalex.org/W4230919050","https://openalex.org/W4235890131","https://openalex.org/W4289420943","https://openalex.org/W4388298878"],"related_works":["https://openalex.org/W4228997342","https://openalex.org/W2277113715","https://openalex.org/W2087297501","https://openalex.org/W2082158543","https://openalex.org/W1977191344","https://openalex.org/W2092098116","https://openalex.org/W1764221576","https://openalex.org/W3102937665","https://openalex.org/W2950050586","https://openalex.org/W2061504823"],"abstract_inverted_index":{"The":[0,70,92,162],"aim":[1],"of":[2,16,23,31,46,48,51,66,88,100,116,142,151,168],"the":[3,11,17,89,117,143,149,152,166,169,179],"paper":[4],"is":[5,136],"to":[6,82,140,148,178],"construct,":[7],"discuss":[8],"and":[9,29,102,155],"apply":[10],"Galois-type":[12,35],"correspondence":[13,36],"between":[14,159],"subsemigroups":[15,50],"endomorphism":[18],"semigroup":[19],"[Formula:":[20,26,52,59],"see":[21,27,53,60],"text]":[22,28,54],"an":[24,126],"algebra":[25],"sets":[30,57,101],"logical":[32],"formulas.":[33],"Such":[34],"forms":[37],"a":[38,79,114,137],"natural":[39],"frame":[40],"for":[41],"studying":[42],"algebras":[43],"by":[44,85,111,130],"means":[45],"actions":[47],"different":[49],"on":[55],"definable":[56],"over":[58],"text].":[61],"We":[62],"treat":[63],"some":[64],"applications":[65],"this":[67,121],"Galois":[68],"correspondence.":[69],"first":[71],"one":[72,123],"concerns":[73,165],"logic":[74,180],"geometry.":[75],"Namely,":[76],"it":[77],"gives":[78],"uniform":[80],"approach":[81,139],"geometries":[83],"defined":[84,110],"various":[86],"fragments":[87],"initial":[90],"language.":[91,119],"next":[93],"prospective":[94],"application":[95,164],"deals":[96],"with":[97,105],"effective":[98,103,127],"recognition":[99],"computations":[104],"properties":[106],"that":[107],"can":[108,124],"be":[109],"formulas":[112],"from":[113],"fragment":[115],"original":[118],"In":[120],"way,":[122],"get":[125],"syntactical":[128],"expression":[129],"semantic":[131],"tools.":[132],"Yet":[133],"another":[134],"advantage":[135],"common":[138],"generalizations":[141],"main":[144],"model":[145],"theoretic":[146],"concepts":[147],"sublanguages":[150],"first-order":[153],"language":[154],"revealing":[156],"new":[157],"connections":[158],"well-known":[160],"concepts.":[161],"fourth":[163],"generalization":[167],"unification":[170,181],"theory,":[171],"or":[172],"more":[173],"generally":[174],"Term":[175],"Rewriting":[176],"Theory,":[177],"theory.":[182]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}