Article
Categorical equivalence of modes
Discussiones Mathematicae: Algebra and Stochastic Methods
Document Type
Article
Disciplines
- Algebra and
- Mathematics
Publication Version
Published Version
Publication Date
1-1-1999
Abstract
A description of all varieties categorically equivalent to a fixed fi nitely generated variety of modes is provided. The characterization is in terms of a set of basic operation symbols and identities.
For the special case of semilattices, a one-to-one correspondence between the categorically equivalent varieties and the isomorphism types of finite posets is exhibited. Applications to rectangular and left-normal bands, and to affine modules are also discussed.
Copyright Owner
University of Zielona Góra
Copyright Date
1999
Language
en
File Format
application/pdf
Citation Information
Clifford Bergman and Joel Berman. "Categorical equivalence of modes" Discussiones Mathematicae: Algebra and Stochastic Methods Vol. 19 (1999) p. 41 - 62 Available at: http://works.bepress.com/clifford_bergman/25/
This article is published as Bergman, C. and J. Berman, Categorical equivalence of modes, Discussiones Mathematicae, 19 (1999): 41-62. Posted with permission.