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Article
Locally Finite Monoids in Finitely Based Varieties
Logic Journal of the IGPL
  • Edmond W. H. Lee, Nova Southeastern University
Document Type
Article
Publication Date
1-21-2019
Keywords
  • Monoid,
  • Semigroup,
  • Locally finite,
  • Variety
Disciplines
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
Citation Information
Edmond W. H. Lee. "Locally Finite Monoids in Finitely Based Varieties" Logic Journal of the IGPL Vol. 27 Iss. 5 (2019) p. 743 - 745 ISSN: 1367-0751
Available at: http://works.bepress.com/edmond-lee/49/