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1Congruence Permutable Kleene-Stone Algebras显示文摘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.LUO Congwen, WANG Gaoxia Department of Mathematics, China Three Gorges University, Yichang 443002, Hubei, China 2010Wuhan University Journal of Natural Sciences2010,15,2:0
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