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Soft Computing
Published in: Soft Computing 8/2013

01-08-2013 | Foundations

A congruence modular variety that is neither congruence distributive nor 3-permutable

Author: Ivan Chajda

Published in: Soft Computing | Issue 8/2013

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Abstract

We present an example of a variety of algebras which is congruence modular but not congruence distributive or congruence n-permutable for each n ≥ 2.
previous article An overview of C-XSC as a tool for interval arithmetic and its application in computing verified uncertain probabilistic models under Dempster–Shafer theory
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Literature
Chajda I, Eigenthaler G, Länger H (2003) Congruence Classes in Universal Algebra. Heldermann Verlag, Lemgo, 218 pp, ISBN 3-88538-226-1
Kowalski T, Ledda A, Paoli F On independent varieties and some related notions. Algebra Univers (forthcoming)
Metadata
Title
A congruence modular variety that is neither congruence distributive nor 3-permutable
Author
Ivan Chajda
Publication date
01-08-2013
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 8/2013
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-013-0988-8

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