Title

Subquasivarieties of regularized varieties

Authors

Clifford Bergman, Iowa State UniversityFollow
A. Romanowska, Warsaw Technical University

Campus Units

Mathematics

Document Type

Article

Publication Version

Accepted Manuscript

Publication Date

12-1996

Journal or Book Title

Algebra Universalis

Volume

36

First Page

536

Last Page

563

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.

Comments

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.

Copyright Owner

Birkhauser Verlag, Basel

Copyright Date

1996

Language

en

File Format

application/pdf

Recommended Citation

Bergman, Clifford and Romanowska, A., "Subquasivarieties of regularized varieties" (1996). Mathematics Publications. 217.
https://lib.dr.iastate.edu/math_pubs/217