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A localization of some congruence conditions in varieties with nullary operations. (English) Zbl 0636.08004

Let V be a variety of algebras with nullary operation 0. Congruence conditions on algebras from V are weakened to “local congruence conditions”, i.e. properties of congruences \(\Psi\), \(\Phi\),... on V- algebras are studied in the congruence blocks [0]\(\Psi\), [0]\(\Phi\),..., only. The paper presents local versions of some theorems known for classical congruence conditions.
Reviewer: J.Duda

MSC:

08A30 Subalgebras, congruence relations
08B05 Equational logic, Mal’tsev conditions
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