The lattice of varieties of monoids

Sergey V. Gusev; Edmond W. H. Lee; Boris M. Vernikov

doi:10.1007/s11537-022-2073-5

The lattice of varieties of monoids

Sergey V. Gusev, Edmond W. H. Lee, Boris M. Vernikov

Department of Mathematics

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

Abstract

We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number of open questions and problems are also formulated.

Original language	American English
Pages (from-to)	117–183
Number of pages	67
Journal	Japanese Journal of Mathematics
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/s11537-022-2073-5
State	Published - Nov 2022

Funding

The first and third authors were supported by the Ministry of Science and Higher Education of the Russian Federation (project FEUZ-2020-0016).

Funders	Funder number
Ministry of Education and Science of the Russian Federation	FEUZ-2020-0016
Ministry of Education and Science of the Russian Federation

ASJC Scopus Subject Areas

General Mathematics

Keywords

Monoid
Variety
Lattice of Varieties
lattice of varieties
variety
monoid

Disciplines

Mathematics

Access to Document

10.1007/s11537-022-2073-5

Cite this

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title = "The lattice of varieties of monoids",

abstract = " We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number of open questions and problems are also formulated.",

keywords = "Monoid, Variety, Lattice of Varieties, lattice of varieties, variety, monoid",

author = "Gusev, {Sergey V.} and Lee, {Edmond W. H.} and Vernikov, {Boris M.}",

note = "Publisher Copyright: {\textcopyright} 2022, The Mathematical Society of Japan and Springer Japan KK, part of Springer Nature.",

year = "2022",

month = nov,

doi = "10.1007/s11537-022-2073-5",

language = "American English",

volume = "17",

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AU - Lee, Edmond W. H.

AU - Vernikov, Boris M.

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N2 - We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number of open questions and problems are also formulated.

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KW - Variety

KW - Lattice of Varieties

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KW - monoid

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JF - Japanese Journal of Mathematics

IS - 2

ER -

The lattice of varieties of monoids

Abstract

Funding

ASJC Scopus Subject Areas

Keywords

Disciplines

Access to Document

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Cite this