{"id":"https://openalex.org/W4317815265","doi":"https://doi.org/10.1090/mcom/3814","title":"On the enumeration of finite \ud835\udc3f-algebras","display_name":"On the enumeration of finite \ud835\udc3f-algebras","publication_year":2023,"publication_date":"2023-01-23","ids":{"openalex":"https://openalex.org/W4317815265","doi":"https://doi.org/10.1090/mcom/3814"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3814","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1090/mcom/3814","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://repozytorium.umk.pl/bitstream/item/6832/1/l-algebras-arXiv.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073595074","display_name":"Carsten Dietzel","orcid":"https://orcid.org/0000-0003-3321-3427"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"C. Dietzel","raw_affiliation_strings":["Department of Mathematics and Data Science, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Data Science, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089917177","display_name":"Paula Mench\u00f3n","orcid":"https://orcid.org/0000-0002-9395-107X"},"institutions":[{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"P. Mench\u00f3n","raw_affiliation_strings":["Department of Logic, Nicolaus Copernicus University in Toru\u0144, Fosa Staromiejska 1a, 87-100 Toru\u0144, Poland","Department of Logic, Nicolaus Copernicus University in Toru\u00c5\u0084, Fosa Staromiejska 1a, 87-100 Toru\u00c5\u0084, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Logic, Nicolaus Copernicus University in Toru\u0144, Fosa Staromiejska 1a, 87-100 Toru\u0144, Poland","institution_ids":["https://openalex.org/I3019271933"]},{"raw_affiliation_string":"Department of Logic, Nicolaus Copernicus University in Toru\u00c5\u0084, Fosa Staromiejska 1a, 87-100 Toru\u00c5\u0084, Poland","institution_ids":["https://openalex.org/I3019271933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061348450","display_name":"Leandro Vendramin","orcid":"https://orcid.org/0000-0003-0954-7785"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"L. Vendramin","raw_affiliation_strings":["Department of Mathematics and Data Science, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Data Science, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium","institution_ids":["https://openalex.org/I13469542"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073595074"],"corresponding_institution_ids":["https://openalex.org/I13469542"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01679501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"92","issue":"341","first_page":"1363","last_page":"1381"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":1.0,"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":1.0,"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":0.9973999857902527,"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":0.9937000274658203,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.9480762481689453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9029935598373413},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4526425004005432},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37900304794311523},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3322431445121765}],"concepts":[{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.9480762481689453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9029935598373413},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4526425004005432},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37900304794311523},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3322431445121765}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/3814","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1090/mcom/3814","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:repozytorium.umk.pl:item/6832","is_oa":true,"landing_page_url":"http://repozytorium.umk.pl/handle/item/6832","pdf_url":"http://repozytorium.umk.pl/bitstream/item/6832/1/l-algebras-arXiv.pdf","source":{"id":"https://openalex.org/S4306400983","display_name":"Nicolaus Copernicus University Repository (Nicolaus Copernicus University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3019271933","host_organization_name":"Nicolaus Copernicus University","host_organization_lineage":["https://openalex.org/I3019271933"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:repozytorium.umk.pl:item/6832","is_oa":true,"landing_page_url":"http://repozytorium.umk.pl/handle/item/6832","pdf_url":"http://repozytorium.umk.pl/bitstream/item/6832/1/l-algebras-arXiv.pdf","source":{"id":"https://openalex.org/S4306400983","display_name":"Nicolaus Copernicus University Repository (Nicolaus Copernicus University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3019271933","host_organization_name":"Nicolaus Copernicus University","host_organization_lineage":["https://openalex.org/I3019271933"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1559420963","display_name":null,"funder_award_id":"2020/39/B/HS1/00216","funder_id":"https://openalex.org/F4320322650","funder_display_name":"Narodowym Centrum Nauki"},{"id":"https://openalex.org/G4399750257","display_name":null,"funder_award_id":"OZR3762","funder_id":"https://openalex.org/F4320322634","funder_display_name":"Vrije Universiteit Brussel"},{"id":"https://openalex.org/G7673713833","display_name":null,"funder_award_id":"2020/39/B/HS1/00216","funder_id":"https://openalex.org/F4320328470","funder_display_name":"Mathematisches Forschungsinstitut Oberwolfach"}],"funders":[{"id":"https://openalex.org/F4320322634","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04"},{"id":"https://openalex.org/F4320322650","display_name":"Narodowym Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320328470","display_name":"Mathematisches Forschungsinstitut Oberwolfach","ror":"https://ror.org/001zbj766"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4317815265.pdf"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W219446931","https://openalex.org/W838771954","https://openalex.org/W1539837196","https://openalex.org/W1985104705","https://openalex.org/W1992711856","https://openalex.org/W1995969674","https://openalex.org/W1998058184","https://openalex.org/W2065385497","https://openalex.org/W2072258210","https://openalex.org/W2100778613","https://openalex.org/W2398898445","https://openalex.org/W2734924814","https://openalex.org/W2779622073","https://openalex.org/W2800086285","https://openalex.org/W3034627078","https://openalex.org/W3048807427","https://openalex.org/W4211083144","https://openalex.org/W4256542144","https://openalex.org/W6608815102"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W3042106073","https://openalex.org/W2143566611","https://openalex.org/W588267724","https://openalex.org/W2057205169","https://openalex.org/W4297743441"],"abstract_inverted_index":{"We":[0,102,127],"use":[1],"Constraint":[2],"Satisfaction":[3],"Methods":[4],"to":[5,25],"construct":[6],"and":[7,34,41,98],"enumerate":[8,107],"finite":[9,111,131],"<inline-formula":[10,55,84,113,133],"content-type=\"math/mathml\">":[11,56,85,114,134],"<mml:math":[12,57,86,115,135],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[13,58,87,116,136],"alttext=\"upper":[14,59,88,117,137],"L\">":[15,60,89,118,138],"<mml:semantics>":[16,61,90,119,139],"<mml:mi>L</mml:mi>":[17,62,91,120,140],"<mml:annotation":[18,63,92,121,141],"encoding=\"application/x-tex\">L</mml:annotation>":[19,64,93,122,142],"</mml:semantics>":[20,65,94,123,143],"</mml:math>":[21,66,95,124,144],"</inline-formula>":[22,67,96,125,145],"-algebras":[23,68,97,146],"up":[24],"isomorphism.":[26],"These":[27],"objects":[28],"were":[29],"recently":[30],"introduced":[31],"by":[32],"Rump":[33],"appear":[35],"in":[36,148],"Garside":[37],"theory,":[38],"algebraic":[39],"logic,":[40],"the":[42,45,76],"study":[43],"of":[44,54,69,78,83,110],"combinatorial":[46,100],"Yang\u2013Baxter":[47],"equation.":[48],"There":[49],"are":[50,147],"377,322,225":[51],"isomorphism":[52,108],"classes":[53,82,109],"size":[70],"eight.":[71],"The":[72],"database":[73],"constructed":[74],"suggests":[75],"existence":[77],"bijections":[79],"between":[80],"certain":[81],"well-known":[99],"objects.":[101],"prove":[103,129],"that":[104,130],"Bell":[105],"numbers":[106],"linear":[112],"-algebras.":[126],"also":[128],"regular":[132],"bijective":[149],"correspondence":[150],"with":[151],"infinite-dimensional":[152],"Young":[153],"diagrams.":[154]},"counts_by_year":[],"updated_date":"2026-04-23T06:14:38.165362","created_date":"2023-01-24T00:00:00"}