Displaying similar documents to “Weak congruence identities at 0.”

A note on triangular schemes for weak congruences

Ivan Chajda, Branimir Šešelja, Andreja Tepavčević (2005)

Czechoslovak Mathematical Journal

Similarity:

Some geometrical methods, the so called Triangular Schemes and Principles, are introduced and investigated for weak congruences of algebras. They are analogues of the corresponding notions for congruences. Particular versions of Triangular Schemes are equivalent to weak congruence modularity and to weak congruence distributivity. For algebras in congruence permutable varieties, stronger properties—Triangular Principles—are equivalent to weak congruence modularity and distributivity. ...

Relatively pseudocomplemented directoids

Ivan Chajda (2009)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

The concept of relative pseudocomplement is introduced in a commutative directoid. It is shown that the operation of relative pseudocomplementation can be characterized by identities and hence the class of these algebras forms a variety. This variety is congruence weakly regular and congruence distributive. A description of congruences via their kernels is presented and the kernels are characterized as the so-called p -ideals.