Variety membership problem for two classes of non-finitely based semigroups

Edmond W. H. Lee

doi:10.1007/s11859-018-1329-7

Variety membership problem for two classes of non-finitely based semigroups

Edmond W. H. Lee

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

2 Scopus citations

Abstract

The variety membership problem for two classes of non-finitely based semigroups is considered. It is shown that a finite semigroup S belongs to the variety generated by one of these non-finitely based semigroups if and only if S satisfies four certain equations that involve at most 2|S| + 1 distinct variables.

Original language	American English
Pages (from-to)	323–327
Journal	Wuhan University Journal of Natural Sciences
Volume	23
Issue number	4
DOIs	https://doi.org/10.1007/s11859-018-1329-7
State	Published - Aug 1 2018

Bibliographical note

Publisher Copyright:
© 2018, Wuhan University and Springer-Verlag GmbH Germany, part of Springer Nature.

ASJC Scopus Subject Areas

General

Keywords

Semigroup
Variety
Variety membership problem

Disciplines

Mathematics

Access to Document

10.1007/s11859-018-1329-7

Cite this

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title = "Variety membership problem for two classes of non-finitely based semigroups",

abstract = "The variety membership problem for two classes of non-finitely based semigroups is considered. It is shown that a finite semigroup S belongs to the variety generated by one of these non-finitely based semigroups if and only if S satisfies four certain equations that involve at most 2|S| + 1 distinct variables.",

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AB - The variety membership problem for two classes of non-finitely based semigroups is considered. It is shown that a finite semigroup S belongs to the variety generated by one of these non-finitely based semigroups if and only if S satisfies four certain equations that involve at most 2|S| + 1 distinct variables.

KW - Semigroup

KW - Variety

KW - Variety membership problem

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UR - https://www.scopus.com/pages/publications/85050210624#tab=citedBy

U2 - 10.1007/s11859-018-1329-7

DO - 10.1007/s11859-018-1329-7

M3 - Article

SN - 1007-1202

VL - 23

SP - 323

EP - 327

JO - Wuhan University Journal of Natural Sciences

JF - Wuhan University Journal of Natural Sciences

IS - 4

ER -

Variety membership problem for two classes of non-finitely based semigroups

Abstract

Bibliographical note

ASJC Scopus Subject Areas

Keywords

Disciplines

Access to Document

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