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arXiv · 1112.3864

Absolute Retracts and Essential Extensions in Congruence Modular Varieties

Peter Ouwehand
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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.

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Peter Ouwehand. 2011-12-15. Absolute Retracts and Essential Extensions in Congruence Modular Varieties. https://arxiv.org/abs/1112.3864

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