50 research outputs found
Absolute Retracts and Essential Extensions in Congruence Modular Varieties
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.Comment: 12 page