Absolute Retracts and Essential Extensions in Congruence Modular Varieties
Rings and Algebras
2011-12-19 v1
Abstract
This paper studies absolute retracts in congruence modular varieties of universal algebras. It is shown that every absolute retract with finite dimensional congruence lattice is a product of subdirectly irreducible algebras. Further, every absolute retract in a residually small variety is the product of an abelian algebra and a centerless algebra.
Keywords
Cite
@article{arxiv.1112.3864,
title = {Absolute Retracts and Essential Extensions in Congruence Modular Varieties},
author = {Peter Ouwehand},
journal= {arXiv preprint arXiv:1112.3864},
year = {2011}
}
Comments
12 pages