The Commutator of Fuzzy Congruences in Universal Algebras

Abstract

We develop the commutator theory for fuzzy congruence relations of general universal algebras. In particular, for algebras in modular varieties, we characterize the commutator of fuzzy congruences using the Day’s terms.

Keywords

• Universal algebras
• Fuzzy congruences
• The commutator
• Shifting lemma-fuzzy version