{"id":"https://openalex.org/W3024984345","doi":"https://doi.org/10.1142/s021819672250028x","title":"Nilpotency and the Hamiltonian property for cancellative residuated lattices","display_name":"Nilpotency and the Hamiltonian property for cancellative residuated lattices","publication_year":2022,"publication_date":"2022-03-15","ids":{"openalex":"https://openalex.org/W3024984345","doi":"https://doi.org/10.1142/s021819672250028x","mag":"3024984345"},"language":"en","primary_location":{"id":"doi:10.1142/s021819672250028x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819672250028x","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/A5009251145","display_name":"Almudena Colacito","orcid":"https://orcid.org/0000-0001-9115-3974"},"institutions":[{"id":"https://openalex.org/I4210112930","display_name":"Laboratoire Jean-Alexandre Dieudonn\u00e9","ror":"https://ror.org/0274zdr66","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210112930","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH","FR"],"is_corresponding":true,"raw_author_name":"Almudena Colacito","raw_affiliation_strings":["Laboratoire J. A. Dieudonn\u00e9, Universit\u00e9 C\u00f3te d\u2019Azur, 06108 Nice, France","Mathematical Institute, University of Bern, 3012 Bern, Switzerland"],"affiliations":[{"raw_affiliation_string":"Laboratoire J. A. Dieudonn\u00e9, Universit\u00e9 C\u00f3te d\u2019Azur, 06108 Nice, France","institution_ids":["https://openalex.org/I4210112930","https://openalex.org/I201841394"]},{"raw_affiliation_string":"Mathematical Institute, University of Bern, 3012 Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084859391","display_name":"Constantine Tsinakis","orcid":null},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Constantine Tsinakis","raw_affiliation_strings":["Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA","institution_ids":["https://openalex.org/I200719446"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009251145"],"corresponding_institution_ids":["https://openalex.org/I118564535","https://openalex.org/I201841394","https://openalex.org/I4210112930"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00796046,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"04","first_page":"629","last_page":"652"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9926000237464905,"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":0.9000465273857117},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.684599757194519},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.670219898223877},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5263592004776001},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.46685320138931274},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4410407245159149},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4105668067932129},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34526586532592773}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9000465273857117},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.684599757194519},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.670219898223877},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5263592004776001},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.46685320138931274},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4410407245159149},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4105668067932129},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34526586532592773},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021819672250028x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819672250028x","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":[],"awards":[{"id":"https://openalex.org/G1665998020","display_name":null,"funder_award_id":"P2BEP2_195473","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G2872969743","display_name":null,"funder_award_id":"200021_165850","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G7475424680","display_name":null,"funder_award_id":"200021_184693","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W575135045","https://openalex.org/W1503075583","https://openalex.org/W1514758454","https://openalex.org/W1573036064","https://openalex.org/W1585649433","https://openalex.org/W1587860830","https://openalex.org/W1618934962","https://openalex.org/W1631895070","https://openalex.org/W1979132684","https://openalex.org/W1979782607","https://openalex.org/W1987450479","https://openalex.org/W2005366897","https://openalex.org/W2012915371","https://openalex.org/W2025013387","https://openalex.org/W2026902553","https://openalex.org/W2037856521","https://openalex.org/W2047865342","https://openalex.org/W2048269668","https://openalex.org/W2050883727","https://openalex.org/W2055263934","https://openalex.org/W2057500258","https://openalex.org/W2057821078","https://openalex.org/W2062705097","https://openalex.org/W2076508310","https://openalex.org/W2088494351","https://openalex.org/W2123194556","https://openalex.org/W2157489742","https://openalex.org/W2186290755","https://openalex.org/W2260474587","https://openalex.org/W2564495057","https://openalex.org/W2605936447","https://openalex.org/W2702147745","https://openalex.org/W2725156051","https://openalex.org/W2735159178","https://openalex.org/W2745927295","https://openalex.org/W2900675801","https://openalex.org/W3026122526","https://openalex.org/W3047976894","https://openalex.org/W3216142546","https://openalex.org/W4236387370","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4381552820","https://openalex.org/W2949088068","https://openalex.org/W2164424388","https://openalex.org/W3166760307","https://openalex.org/W2062894808","https://openalex.org/W2055652047","https://openalex.org/W4280588605","https://openalex.org/W2949318565","https://openalex.org/W2003251765","https://openalex.org/W1974096960"],"abstract_inverted_index":{"This":[0],"paper":[1,42],"studies":[2],"nilpotent":[3,13,64],"and":[4,9,14,51,60],"Hamiltonian":[5,15],"cancellative":[6],"residuated":[7,30,49],"lattices":[8,50],"their":[10],"relationship":[11],"with":[12,55],"lattice-ordered":[16,22,52],"groups.":[17],"In":[18],"particular,":[19],"results":[20],"about":[21],"groups":[23,53,65],"are":[24,43],"extended":[25],"to":[26],"the":[27,38,44],"domain":[28],"of":[29,40,63,66,74],"lattices.":[31],"The":[32],"two":[33],"key":[34],"ingredients":[35],"that":[36],"underlie":[37],"considerations":[39],"this":[41],"categorical":[45],"equivalence":[46],"between":[47],"Ore":[48],"endowed":[54],"a":[56,67,75],"suitable":[57],"modal":[58],"operator;":[59],"Malcev\u2019s":[61],"description":[62],"given":[68],"nilpotency":[69],"class":[70],"c":[71],"in":[72],"terms":[73],"semigroup":[76],"equation.":[77]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}