Mathematics Faculty Articles

Title

Non-Specht variety generated by an involution semigroup of order five

Document Type

Article

Publication Date

2020

Publication Title

Transactions of the Moscow Mathematical Society

Keywords

Semigroup, involution, variety, finitely based, Specht variety

ISSN

0077-1554

Volume

81

First Page

87

Last Page

95

Abstract

The non-orthodox 0-simple semigroup A2 of order five admits a unary operation under which it is an involution semigroup. It is known that A2 generates a Specht variety of semigroups. In contrast, it is shown that as an involution semigroup, A2 generates a non-Specht variety.

Comments

Dedicated to the 65th birthday of Professor Mikhail V. Volkov

Additional Comments

© Copyright 2020 American Mathematical Society

ORCID ID

0000-0002-1662-3734

ResearcherID

I-6970-2013

DOI

10.1090/mosc/302

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