Campus Units

Mathematics

Document Type

Article

Publication Version

Accepted Manuscript

Publication Date

12-1998

Journal or Book Title

Algebra universalis

Volume

40

First Page

149

Last Page

175

DOI

10.1007/s000120050087

Abstract

Let A be a finite algebra with a majority term. We characterize those algebras categorically equivalent to A. The description is in terms of a derived structure with universe consisting of all subalgebras of A × A, and with operations of composition, converse and intersection.

The main theorem is used to get a different sort of characterization of categorical equivalence for algebras generating an arithmetical variety. We also consider clones of co-height at most two. In addition, we provide new proofs of several characteriza- tions in the literature, including quasi-primal, lattice-primal and congruence-primal algebras.

Comments

This is a manuscript of an article published as Bergman, Clifford. "Categorical equivalence of algebras with a majority term." algebra universalis 40 (1998): 149-175. doi: 10.1007/s000120050087. Posted with permission.

Copyright Owner

Birkhauser Verlag, Basel

Language

en

File Format

application/pdf

Published Version

Included in

Algebra Commons

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