Strongly nonfinitely based monoids
We show that the 42 -element monoid of all partial order preserving and extensive injections on the 4 -element chain is not contained in any variety generated by a finitely based finite semigroup.
Gespeichert in:
Veröffentlicht in: | Journal of combinatorial algebra 2024-08 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | |
container_title | Journal of combinatorial algebra |
container_volume | |
creator | Gusev, Sergey V. Sapir, Olga B. Volkov, Mikhail V. |
description | We show that the
42
-element monoid of all partial order preserving and extensive injections on the
4
-element chain is not contained in any variety generated by a finitely based finite semigroup. |
doi_str_mv | 10.4171/jca/100 |
format | Article |
fullrecord | <record><control><sourceid>crossref</sourceid><recordid>TN_cdi_crossref_primary_10_4171_jca_100</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_4171_jca_100</sourcerecordid><originalsourceid>FETCH-LOGICAL-c650-d06a0479e26ac75d4a6ddb95429ffa15520cd71ca6d017b98c9014d11877f5ec3</originalsourceid><addsrcrecordid>eNo9j0tLAzEYRYNYsNTiXyhuXI29XyaPyVKKLyi4aPdDJg-Z0iaSdNN_74ji6h7u4sBh7I7wKEjT-uDsmoArNueCZKNawvU_g9-wZa0HALwjdMCc3e_OJafP42WVcopjGs9h4sHW4FennPLo6y2bRXusYfm3C7Z_ed5v3prtx-v75mnbOCXReCgLoU3gyjotvbDK-8FIwU2MlqTkcF6Tm26QHkznDEh4ok7rKINrF-zhV-tKrrWE2H-V8WTLpSf0P3H9FDcx2m9A-0B8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Strongly nonfinitely based monoids</title><source>DOAJ Directory of Open Access Journals</source><source>EZB Electronic Journals Library</source><creator>Gusev, Sergey V. ; Sapir, Olga B. ; Volkov, Mikhail V.</creator><creatorcontrib>Gusev, Sergey V. ; Sapir, Olga B. ; Volkov, Mikhail V.</creatorcontrib><description>We show that the
42
-element monoid of all partial order preserving and extensive injections on the
4
-element chain is not contained in any variety generated by a finitely based finite semigroup.</description><identifier>ISSN: 2415-6302</identifier><identifier>EISSN: 2415-6310</identifier><identifier>DOI: 10.4171/jca/100</identifier><language>eng</language><ispartof>Journal of combinatorial algebra, 2024-08</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><orcidid>0000-0002-2935-2558 ; 0000-0001-7639-2117 ; 0000-0002-9327-243X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,860,27903,27904</link.rule.ids></links><search><creatorcontrib>Gusev, Sergey V.</creatorcontrib><creatorcontrib>Sapir, Olga B.</creatorcontrib><creatorcontrib>Volkov, Mikhail V.</creatorcontrib><title>Strongly nonfinitely based monoids</title><title>Journal of combinatorial algebra</title><description>We show that the
42
-element monoid of all partial order preserving and extensive injections on the
4
-element chain is not contained in any variety generated by a finitely based finite semigroup.</description><issn>2415-6302</issn><issn>2415-6310</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNo9j0tLAzEYRYNYsNTiXyhuXI29XyaPyVKKLyi4aPdDJg-Z0iaSdNN_74ji6h7u4sBh7I7wKEjT-uDsmoArNueCZKNawvU_g9-wZa0HALwjdMCc3e_OJafP42WVcopjGs9h4sHW4FennPLo6y2bRXusYfm3C7Z_ed5v3prtx-v75mnbOCXReCgLoU3gyjotvbDK-8FIwU2MlqTkcF6Tm26QHkznDEh4ok7rKINrF-zhV-tKrrWE2H-V8WTLpSf0P3H9FDcx2m9A-0B8</recordid><startdate>20240827</startdate><enddate>20240827</enddate><creator>Gusev, Sergey V.</creator><creator>Sapir, Olga B.</creator><creator>Volkov, Mikhail V.</creator><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-2935-2558</orcidid><orcidid>https://orcid.org/0000-0001-7639-2117</orcidid><orcidid>https://orcid.org/0000-0002-9327-243X</orcidid></search><sort><creationdate>20240827</creationdate><title>Strongly nonfinitely based monoids</title><author>Gusev, Sergey V. ; Sapir, Olga B. ; Volkov, Mikhail V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c650-d06a0479e26ac75d4a6ddb95429ffa15520cd71ca6d017b98c9014d11877f5ec3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gusev, Sergey V.</creatorcontrib><creatorcontrib>Sapir, Olga B.</creatorcontrib><creatorcontrib>Volkov, Mikhail V.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of combinatorial algebra</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gusev, Sergey V.</au><au>Sapir, Olga B.</au><au>Volkov, Mikhail V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Strongly nonfinitely based monoids</atitle><jtitle>Journal of combinatorial algebra</jtitle><date>2024-08-27</date><risdate>2024</risdate><issn>2415-6302</issn><eissn>2415-6310</eissn><abstract>We show that the
42
-element monoid of all partial order preserving and extensive injections on the
4
-element chain is not contained in any variety generated by a finitely based finite semigroup.</abstract><doi>10.4171/jca/100</doi><orcidid>https://orcid.org/0000-0002-2935-2558</orcidid><orcidid>https://orcid.org/0000-0001-7639-2117</orcidid><orcidid>https://orcid.org/0000-0002-9327-243X</orcidid><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 2415-6302 |
ispartof | Journal of combinatorial algebra, 2024-08 |
issn | 2415-6302 2415-6310 |
language | eng |
recordid | cdi_crossref_primary_10_4171_jca_100 |
source | DOAJ Directory of Open Access Journals; EZB Electronic Journals Library |
title | Strongly nonfinitely based monoids |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-24T22%3A19%3A52IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Strongly%20nonfinitely%20based%20monoids&rft.jtitle=Journal%20of%20combinatorial%20algebra&rft.au=Gusev,%20Sergey%20V.&rft.date=2024-08-27&rft.issn=2415-6302&rft.eissn=2415-6310&rft_id=info:doi/10.4171/jca/100&rft_dat=%3Ccrossref%3E10_4171_jca_100%3C/crossref%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |