Congruence preserving expansions of nilpotent algebras

Erhard Aichinger; Gabor Horvath

doi:10.48550/arXiv.1903.07148

Congruence preserving expansions of nilpotent algebras

Erhard Aichinger, Gabor Horvath

Institute for Algebra

Research output: Working paper and reports › Preprint

Abstract

We characterize those nilpotent algebras of prime power order and finite type in congruence modular varieties that have infinitely many polynomially inequivalent congruence preserving expansions.

Original language	English
Number of pages	13
DOIs	https://doi.org/10.48550/arXiv.1903.07148
Publication status	Published - Mar 2019

Publication series

Name	arXiv.org
No.	arXiv:1903.07148
ISSN (Print)	2331-8422

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101013 Mathematical logic
102031 Theoretical computer science

JKU Focus areas

Digital Transformation

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10.48550/arXiv.1903.07148

Clonoids: a unifying approach to equational logic and clones
Aichinger, E. (PI)
FWF - Austrian Science Fund
01.02.2017 → 31.01.2020
Project: Funded research › FWF - Austrian Science Fund

Cite this

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DO - 10.48550/arXiv.1903.07148

M3 - Preprint

T3 - arXiv.org

BT - Congruence preserving expansions of nilpotent algebras

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Congruence preserving expansions of nilpotent algebras

Abstract

Publication series

Fields of science

JKU Focus areas

Access to Document

Projects

Clonoids: a unifying approach to equational logic and clones

Cite this