{"id":"https://openalex.org/W2964038361","doi":"https://doi.org/10.1142/s0218196717500424","title":"Twisted partial actions and extensions of semilattices of groups by groups","display_name":"Twisted partial actions and extensions of semilattices of groups by groups","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2964038361","doi":"https://doi.org/10.1142/s0218196717500424","mag":"2964038361"},"language":"pt","primary_location":{"id":"pmh:002865273","is_oa":true,"landing_page_url":"https://dx.doi.org/10.1142/S0218196717500424","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dx.doi.org/10.1142/S0218196717500424","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Khrypchenko, Mykola","orcid":null},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Khrypchenko, Mykola","raw_affiliation_strings":["Insituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, S\u00e3o Paulo, SP, CEP: 05508\u2013090, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Insituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, Rua do Mat\u00e3o, 1010, S\u00e3o Paulo, SP, CEP: 05508\u2013090, Brazil","institution_ids":["https://openalex.org/I17974374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":null,"apc_paid":null,"fwci":4.4753,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.95475549,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9980999827384949,"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":0.9976999759674072,"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":0.871671199798584},{"id":"https://openalex.org/keywords/semilattice","display_name":"Semilattice","score":0.8522453308105469},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6379339694976807},{"id":"https://openalex.org/keywords/inverse-semigroup","display_name":"Inverse semigroup","score":0.5973331332206726},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.5859741568565369},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5078244805335999},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.47394588589668274},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45870694518089294},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4173317849636078},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3885743021965027},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.354983389377594},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.12699249386787415}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.871671199798584},{"id":"https://openalex.org/C132170107","wikidata":"https://www.wikidata.org/wiki/Q834585","display_name":"Semilattice","level":3,"score":0.8522453308105469},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6379339694976807},{"id":"https://openalex.org/C2778508345","wikidata":"https://www.wikidata.org/wiki/Q3022118","display_name":"Inverse semigroup","level":3,"score":0.5973331332206726},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5859741568565369},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5078244805335999},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.47394588589668274},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45870694518089294},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4173317849636078},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3885743021965027},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.354983389377594},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.12699249386787415},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:002865273","is_oa":true,"landing_page_url":"https://dx.doi.org/10.1142/S0218196717500424","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:002865273","is_oa":true,"landing_page_url":"https://dx.doi.org/10.1142/S0218196717500424","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"score":0.5099999904632568,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1518454564","https://openalex.org/W1585268771","https://openalex.org/W1735990267","https://openalex.org/W1979153145","https://openalex.org/W1987660390","https://openalex.org/W1997728024","https://openalex.org/W2007957139","https://openalex.org/W2011729359","https://openalex.org/W2015736992","https://openalex.org/W2025918243","https://openalex.org/W2028871352","https://openalex.org/W2051124363","https://openalex.org/W2054761642","https://openalex.org/W2079300096","https://openalex.org/W2088865898","https://openalex.org/W2090274380","https://openalex.org/W2107456555","https://openalex.org/W2111399414","https://openalex.org/W2128380637","https://openalex.org/W2143547741","https://openalex.org/W2153032667","https://openalex.org/W2160584888","https://openalex.org/W2314374760","https://openalex.org/W2739672401","https://openalex.org/W2962757444","https://openalex.org/W2962908309","https://openalex.org/W2963242490","https://openalex.org/W4212946410","https://openalex.org/W4237104251","https://openalex.org/W4251535942","https://openalex.org/W4301343535"],"related_works":["https://openalex.org/W2089989518","https://openalex.org/W178377844","https://openalex.org/W1998668252","https://openalex.org/W2952119688","https://openalex.org/W1965539507","https://openalex.org/W2363587994","https://openalex.org/W2944426449","https://openalex.org/W2082318546","https://openalex.org/W2735702092","https://openalex.org/W2009639717"],"abstract_inverted_index":{"We":[0],"introduce":[1],"the":[2,24,33],"concept":[3],"of":[4,7,10,26,46,70,74],"an":[5,64],"extension":[6],"a":[8,16,55,59],"semilattice":[9],"groups":[11,71,75],"[Formula:":[12,18,36,43,47,51,82],"see":[13,19,37,44,48,52,83],"text]":[14,20,38,45,49],"by":[15,39],"group":[17],"and":[21,76],"describe":[22],"all":[23],"extensions":[25],"this":[27],"type":[28],"which":[29],"are":[30],"equivalent":[31],"to":[32,63],"crossed":[34],"products":[35],"twisted":[40,67,79],"partial":[41,68],"actions":[42,69],"on":[50,72],"text].":[53],"As":[54],"consequence,":[56],"we":[57],"establish":[58],"one-to-one":[60],"correspondence,":[61],"up":[62],"isomorphism,":[65],"between":[66],"semilattices":[73],"so-called":[77],"Sieben":[78],"modules":[80],"over":[81],"text]-unitary":[84],"inverse":[85],"semigroups.":[86]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}