Sequences of commutator operations
Rings and Algebras
2012-05-25 v3
Abstract
Given the congruence lattice L of a finite algebra A with a Mal'cev term, we look for those sequences of operations on L that are sequences of higher commutator operations of expansions of A. The properties of higher commutators proved so far delimit the number of such sequences: the number is always at most countably infinite; if it is infinite, then L is the union of two proper subintervals with nonempty intersection.
Cite
@article{arxiv.1205.3297,
title = {Sequences of commutator operations},
author = {Erhard Aichinger and Nebojsa Mudrinski},
journal= {arXiv preprint arXiv:1205.3297},
year = {2012}
}
Comments
9 pages, submitted for publication