Mathematics Faculty Articles
A Sufficient Condition for the Absence of Irredundant Bases
Document Type
Article
Publication Date
2018
Publication Title
Houston Journal of Mathematics
ISSN
0362-1588
Volume
44
Issue/No.
2
First Page
399
Last Page
411
Abstract
A basis of identities for an algebra is irredundant if each of its proper subsets fails to be a basis. A sufficient condition is established under which a non-finitely based finite algebra of finite type has no irredundant bases. This result is then used to construct the first known trio of finite involution semigroups, all sharing a common semigroup reduct, such that one has a finite basis, one has an infinite irredundant basis, and one has no irredundant bases.
NSUWorks Citation
Lee, Edmond W. H., "A Sufficient Condition for the Absence of Irredundant Bases" (2018). Mathematics Faculty Articles. 256.
https://nsuworks.nova.edu/math_facarticles/256
