Mathematics Faculty Articles
Finite Basis Problem for the Direct Product of Some J-Trivial Monoid with Groups of Finite Exponent
Document Type
Article
Publication Date
12-2013
Publication Title
Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya
ISSN
1063-4541
Volume
2013
Issue/No.
4
First Page
60
Last Page
64
Abstract
It is proved that the direct product of the J-trivial monoid S(xyx) with any noncommutative group of finite exponent is non-finitely based. This result provides new, simpler examples of two finitely based finite monoids for which their direct product is non-finitely based. It follows that the direct product of the monoid S(xyx) with any group of finite exponent is finitely based if and only if the group is commutative.
NSUWorks Citation
Lee, Edmond W. H., "Finite Basis Problem for the Direct Product of Some J-Trivial Monoid with Groups of Finite Exponent" (2013). Mathematics Faculty Articles. 12.
https://nsuworks.nova.edu/math_facarticles/12
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013