Article
Subquasivarieties of regularized varieties
Algebra Universalis
Document Type
Article
Disciplines
- Algebra and
- Mathematics
Publication Version
Accepted Manuscript
Publication Date
12-1-1996
DOI
10.1007/BF01233924
Abstract
This paper considers the lattice of subquasivarieties of a regular variety. In particular we show that if V is a strongly irregular variety that is minimal as a quasivariety, then the smallest quasivariety containing both V and SI (the variety of semilattices) is never equal to the regularization V of V.
We use this result to describe the lattice of subquasivarieties of V in several special but quite common, cases and give a number of applications and examples.
Copyright Owner
Birkhauser Verlag, Basel
Copyright Date
1996
Language
en
File Format
application/pdf
Citation Information
Clifford Bergman and A. Romanowska. "Subquasivarieties of regularized varieties" Algebra Universalis Vol. 36 (1996) p. 536 - 563 Available at: http://works.bepress.com/clifford_bergman/24/
This article is published as Bergman, Clifford, and Anna Romanowska. "Subquasivarieties of regularized varieties." Algebra Universalis 36 (1996): 536-563. doi: 10.1007/BF01233924. Posted with permission.