Search Results

You are looking at 1 - 2 of 2 items for :

  • "Primary 08B10" x
  • All content x
Clear All

Abstract

We provide a Maltsev characterization of congruence distributive varieties by showing that a variety 𝓥 is congruence distributive if and only if the congruence identity α(βγβ)_αβγαβγ … (k factors) holds in 𝓥, for some natural number k.

Restricted access

Abstract  

The relationship between absolute retracts, injectives and equationally compact algebras in finitely generated congruence distributive varieties with 1- element subalgebras is considered and several characterization theorems are proven. Amongst others, we prove that the absolute retracts in such a variety are precisely the injectives in the amalgamation class and that every equationally compact reduced power of a finite absolute retract is an absolute retract. We also show that any elementary amalgamation class is Horn if and only if it is closed under finite direct products.

Restricted access