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Catalan monoids inherently nonfinitely based relative to finite -trivial semigroups. / Sapir, O. B.; Volkov, M. V.
In: Journal of Algebra, Vol. 633, 01.11.2023, p. 138-171.

Research output: Contribution to journal › Article › peer-review

Harvard

Sapir, OB & Volkov, MV 2023, 'Catalan monoids inherently nonfinitely based relative to finite -trivial semigroups', Journal of Algebra, vol. 633, pp. 138-171. https://doi.org/10.1016/j.jalgebra.2023.06.014

APA

Sapir, O. B., & Volkov, M. V. (2023). Catalan monoids inherently nonfinitely based relative to finite -trivial semigroups. Journal of Algebra, 633, 138-171. https://doi.org/10.1016/j.jalgebra.2023.06.014

Vancouver

Sapir OB, Volkov MV. Catalan monoids inherently nonfinitely based relative to finite -trivial semigroups. Journal of Algebra. 2023 Nov 1;633:138-171. doi: 10.1016/j.jalgebra.2023.06.014

Author

Sapir, O. B. ; Volkov, M. V. / Catalan monoids inherently nonfinitely based relative to finite -trivial semigroups. In: Journal of Algebra. 2023 ; Vol. 633. pp. 138-171.

BibTeX

@article{25f5596d62b94705adde76440cfaaa0f,
title = "Catalan monoids inherently nonfinitely based relative to finite -trivial semigroups",
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 -trivial semigroup. This provides unified proofs for several known facts and leads to a bunch of new results on the Finite Basis Problem for finite - and -trivial semigroups.",
author = "Sapir, {O. B.} and Volkov, {M. V.}",
note = "The second-named author was supported by the Ministry of Science and Higher Education of the Russian Federation , project FEUZ-2023-0022 .",
year = "2023",
month = nov,
day = "1",
doi = "10.1016/j.jalgebra.2023.06.014",
language = "English",
volume = "633",
pages = "138--171",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Catalan monoids inherently nonfinitely based relative to finite -trivial semigroups

AU - Sapir, O. B.

AU - Volkov, M. V.

N1 - The second-named author was supported by the Ministry of Science and Higher Education of the Russian Federation , project FEUZ-2023-0022 .

PY - 2023/11/1

Y1 - 2023/11/1

N2 - 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 -trivial semigroup. This provides unified proofs for several known facts and leads to a bunch of new results on the Finite Basis Problem for finite - and -trivial semigroups.

AB - 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 -trivial semigroup. This provides unified proofs for several known facts and leads to a bunch of new results on the Finite Basis Problem for finite - and -trivial semigroups.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85164307924

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001033855700001

U2 - 10.1016/j.jalgebra.2023.06.014

DO - 10.1016/j.jalgebra.2023.06.014

M3 - Article

VL - 633

SP - 138

EP - 171

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 41982563