The largest higher commutator sequence-Reference-Cited by-同舟云学术

The largest higher commutator sequence

Published:2019 Issue: Volume:54 Page:83-94
ISSN:2084-2589
Container-title:Reports on Mathematical Logic
language:en
Short-container-title:

Author:

Mudrinski Nebojša¹

Affiliation:

1. Department of Mathematics and Informatics, Faculty of Sciences University of Novi Sad, Novi Sad, Serbia

Abstract

Given the congruence lattice L of a finite algebra A that generates a congruence permutable variety, we look for those sequences of operations on L that have the properties of higher commutator operations of expansions of A. If we introduce the order of such sequences in the natural way the question is whether exists or not the largest one. The answer is positive. We provide a description of the largest element and as a consequence we obtain that the sequences form a complete lattice.

Publisher

Uniwersytet Jagiellonski - Wydawnictwo Uniwersytetu Jagiellonskiego

Subject

Logic,Philosophy

Reference13 articles.

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5. A. Bulatov, On the number of finite Mal’tsev algebras, Contributions to general algebra, 13 (Velk´e Karlovice, 1999 / Dresden, 2000), Heyn, Klagenfurt, 2001, pp. 41–54.

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