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On congruence distributivity of ordered algebras with constants

100%

Balog K., Skublics B.

Discussiones Mathematicae - General Algebra and Applications

2011

tom 31

nr 1

47-59

We define the order-congruence distributivity at 0 and order- congruence n-distributivity at 0 of ordered algebras with a nullary operation 0. These notions are generalizations of congruence distributivity and congruence n-distributivity. We prove that a class of ordered algebras with a nullary operation 0 closed under taking subalgebras and direct products is order-congruence distributive at 0 iff it is order-congruence n-distributive at 0. We also characterize such classes by a Mal'tsev condition.

Ograniczanie wyników

1 Discussiones Mathematicae - General Algebra and Applications

1 Balog K.

1 Skublics B.

1 2011

Wyniki wyszukiwania

On congruence distributivity of ordered algebras with constants