Mathematics Faculty Articles

Title

Locally Finite Monoids in Finitely Based Varieties

Document Type

Article

Publication Date

1-21-2019

Publication Title

Logic Journal of the IGPL

Keywords

Monoid, Semigroup, Locally finite, Variety

ISSN

1367-0751

First Page

1

Last Page

3

Abstract

It is shown that given any finite system of monoid identities, it is decidable if the class of locally finite monoids that satisfy the system is a variety. This answers an open problem of Mark V. Sapir.

Comments

©The Author(s) 2019. Published by Oxford University Press. All rights reserved.

ORCID ID

0000-0002-1662-3734

ResearcherID

I-6970-2013

DOI

10.1093/jigpal/jzz001

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