Congruence permutable Kleene-Stone algebras |
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Authors: | Congwen Luo Gaoxia Wang |
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Institution: | LUO Congwen,WANG Gaoxia Department of Mathematics,China Three Gorges University,Yichang 443002,Hubei,China |
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Abstract: | A Kleene-Stone algebra is a bounded distributive lattice with two unary operations that make it a Kleene and a Stone algebra. In this paper, we study the properties of the prime ideals in a Kleene-Stone algebra and characterize the class of Kleene-Stone algebras that are congruence permutable by means of the dual space of a Kleene-Stone algebra and then show that a finite Kleene-Stone algebra is congruence permutable if and only if it is isomorphic to a direct product of finitely many simple algebras. |
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Keywords: | Kleene-Stone algebra Kleene-Stone space congruence permutable |
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