Mathematics Faculty Articles
On a Class of Completely Join Prime J-Trivial Semigroups with Unique Involution
Document Type
Article
Publication Date
10-2017
Publication Title
Algebra Universalis
Keywords
Semigroup, Involution, Pseudovariety, Completely join prime
ISSN
0002-5240
Volume
78
Issue/No.
2
First Page
131
Last Page
145
Abstract
A finite algebra is completely join prime if whenever it belongs to the complete join of some collection of pseudovarieties, then it belongs to one of the pseudovarieties. An infinite class of completely join prime J-trivial semigroups with unique involution is introduced to demonstrate the incompatibility between the lattice of pseudovarieties of involution semigroups and the lattice of pseudovarieties of semigroups. Examples are also exhibited to show that a finite involution semigroup and its semigroup reduct need not be simultaneously completely join prime.
NSUWorks Citation
Lee, Edmond W. H., "On a Class of Completely Join Prime J-Trivial Semigroups with Unique Involution" (2017). Mathematics Faculty Articles. 207.
https://nsuworks.nova.edu/math_facarticles/207
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013
DOI
10.1007/s00012-017-0442-3
Comments
©Springer International Publishing 2017