Cancellable Elements of the Lattice of Monoid Varieties

Gusev, S. V.; Lee, E. W. H.

doi:10.1007/s10474-021-01177-z

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Поле DC	Значение	Язык
dc.contributor.author	Gusev, S. V.	en
dc.contributor.author	Lee, E. W. H.	en
dc.date.accessioned	2022-05-12T08:17:09Z	-
dc.date.available	2022-05-12T08:17:09Z	-
dc.date.issued	2021	-
dc.identifier.citation	Gusev S. V. Cancellable Elements of the Lattice of Monoid Varieties / S. V. Gusev, E. W. H. Lee. — DOI 10.3390/plants11060762 // Acta Mathematica Hungarica. — 2021. — Vol. 165. — Iss. 1. — P. 156-168.	en
dc.identifier.issn	0236-5294	-
dc.identifier.other	All Open Access, Green	3
dc.identifier.uri	http://elar.urfu.ru/handle/10995/111372	-
dc.description.abstract	The set of all cancellable elements of the lattice of semigroup varieties has recently been shown to be countably infinite. But the description of all cancellable elements of the lattice MON of monoid varieties remains unknown. This problem is addressed in the present article. The first example of a monoid variety with modular but non-distributive subvariety lattice is first exhibited. Then a necessary condition of the modularity of an element in MON is established. These results play a crucial role in the complete description of all cancellable elements of the lattice MON. It turns out that there are precisely five such elements. © 2021, Akadémiai Kiadó, Budapest, Hungary.	en
dc.description.sponsorship	The first author is supported by the Ministry of Science and Higher Education of the Russian Federation (project FEUZ-2020-0016).	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Springer Science and Business Media B.V.	en1
dc.publisher	Springer Science and Business Media LLC	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	Acta Math. Hung.	2
dc.source	Acta Mathematica Hungarica	en
dc.subject	CANCELLABLE ELEMENT OF A LATTICE	en
dc.subject	LATTICE OF VARIETIES	en
dc.subject	MODULAR ELEMENT OF A LATTICE	en
dc.subject	MONOID	en
dc.subject	VARIETY	en
dc.title	Cancellable Elements of the Lattice of Monoid Varieties	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/submittedVersion	en
dc.identifier.rsi	47037702	-
dc.identifier.doi	10.1007/s10474-021-01177-z	-
dc.identifier.scopus	85114180361	-
local.contributor.employee	Gusev, S.V., Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina str. 51, Ekaterinburg, 620000, Russian Federation; Lee, E.W.H., Department of Mathematics, Nova Southeastern University, Fort Lauderdale, FL 33314, United States	en
local.description.firstpage	156	-
local.description.lastpage	168	-
local.issue	1	-
local.volume	165	-
dc.identifier.wos	000692303800010	-
local.contributor.department	Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina str. 51, Ekaterinburg, 620000, Russian Federation; Department of Mathematics, Nova Southeastern University, Fort Lauderdale, FL 33314, United States	en
local.identifier.pure	23822837	-
local.identifier.eid	2-s2.0-85114180361	-
local.identifier.wos	WOS:000692303800010	-
local.fund.feuz	FEUZ-2020-0016	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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