Displaying similar documents to “Some modifications of congruence permutability and dually congruence regular varietie”

Congruence submodularity

Ivan Chajda, Radomír Halaš (2002)

Discussiones Mathematicae - General Algebra and Applications

Similarity:

We present a countable infinite chain of conditions which are essentially weaker then congruence modularity (with exception of first two). For varieties of algebras, the third of these conditions, the so called 4-submodularity, is equivalent to congruence modularity. This is not true for single algebras in general. These conditions are characterized by Maltsev type conditions.

Congruence restrictions on axes

Jaromír Duda (1992)

Mathematica Bohemica

Similarity:

We give Mal’cev conditions for varieties 4V4 whose congruences on the product A × B , A , B ∈ V , are determined by their restrictions on the axes in A × B .