Campus Units

Mathematics

Document Type

Article

Publication Version

Accepted Manuscript

Publication Date

9-2015

Journal or Book Title

Algebra Universalis

Volume

74

Issue

1-2

First Page

117

Last Page

122

DOI

10.1007/s00012-015-0337-0

Abstract

A finite algebra is called automorphism-primal if its clone of term operations coincides with all operations that preserve its automorphisms. We prove that the variety generated by an automorphism-primal algebra is verbose, that is, on every member algebra, every fully invariant congruence is verbal. The proof is a nice application of the theory of natural dualities as developed by Davey et al.

Comments

The final publication is available at Springer via https://doi.org/10.1007/s00012-015-0337-0. Bergman, Clifford. "Automorphism-primal algebras generate verbose varieties." Algebra Universalis 74, no. 1-2 (2015): 117-122. Posted with permission.

Copyright Owner

Springer Basel

Language

en

File Format

application/pdf

Published Version

Included in

Algebra Commons

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