Higher Degrees of Distributivity in MV-Algebras

Author： Jakubík Ján  

Publisher： Springer Publishing Company

ISSN： 0011-4642

Source： Czechoslovak Mathematical Journal, Vol.53, Iss.3, 2003-09, pp. : 641-653

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Abstract

In this paper we deal with the (α, β)-distributivity of an MV-algebra \cal a, where α and β are nonzero cardinals. It is proved that if \cal a is singular and (α, 2)-distributive, then it is (α, α)-distributive. We show that if \cal a is complete then it can be represented as a direct product of MV-algebras which are homogeneous with respect to higher degrees of distributivity.

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