Absolute retracts and essential extensions in congruence modular varieties

作者：Ouwehand Peter^*

来源：Algebra Universalis, 2013, 69(3): 201-211.

DOI：10.1007/s00012-012-0217-9

• absolute retracts
• essential extensions
• congruence modular varieties of universal algebras

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.

• 出版日期2013-5