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Rees ideal algebras

Ivan Chajda (1997)

Mathematica Bohemica

We describe algebras and varieties for which every ideal is a kernel of a one-block congruence.

Relatively pseudocomplemented directoids

Ivan Chajda (2009)

Commentationes Mathematicae Universitatis Carolinae

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.

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