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Congruences on semilattices with section antitone involutions

100%

Chajda I.

Discussiones Mathematicae - General Algebra and Applications

2010

tom 30

nr 2

207-215

We deal with congruences on semilattices with section antitone involution which rise e.g., as implication reducts of Boolean algebras, MV-algebras or basic algebras and which are included among implication algebras, orthoimplication algebras etc. We characterize congruences by their kernels which coincide with semilattice filters satisfying certain natural conditions. We prove that these algebras are congruence distributive and 3-permutable.

On schemes for congruence distributivity

84%

Chajda I., Halaš R.

Open Mathematics

2004

tom 2

nr 3

368-376

We present diagrammatic schemes characterizing congruence 3-permutable and distributive algebras. We show that a congruence 3-permutable algebra is congruence meetsemidistributive if and only if it is distributive. We characterize varieties of algebras satisfying the so-called triangular scheme by means of a Maltsev-type condition.

Ograniczanie wyników

1 Discussiones Mathematicae - General Algebra and Applications

1 Open Mathematics

2 Chajda I.

1 Halaš R.

1 2010

1 2004

Wyniki wyszukiwania

Congruences on semilattices with section antitone involutions

On schemes for congruence distributivity