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ON SYMMETRIC EXTENDED MS-ALGEBRAS WHOSE CONGRUENCES ARE PERMUTABLE 被引量:1
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作者 罗从文 《Acta Mathematica Scientia》 SCIE CSCD 2011年第3期1113-1122,共10页
Algebras whose congruences are permutable were investigated by a number of authors in the literature. In this paper, we study the symmetric extended MS-algebras whose congruences are permutable. Some results obtained ... Algebras whose congruences are permutable were investigated by a number of authors in the literature. In this paper, we study the symmetric extended MS-algebras whose congruences are permutable. Some results obtained by Jie Fang on symmetric extended De Morgan algebras are generalized. 展开更多
关键词 extended Ockham algebra symmetric extended MS-algebra congruence permutable
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Congruence Permutable Symmetric Extended de Morgan Algebras
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作者 Jie FANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第3期659-664,共6页
An algebra A is said to be congruence permutable if any two congruences on it are permutable. This property has been investigated in several varieties of algebras, for example, de Morgan algebras, p-algebras, Kn,0-alg... An algebra A is said to be congruence permutable if any two congruences on it are permutable. This property has been investigated in several varieties of algebras, for example, de Morgan algebras, p-algebras, Kn,0-algebras. In this paper, we study the class of symmetric extended de Morgan algebras that are congruence permutable. In particular we consider the case where A is finite, and show that A is congruence permutable if and only if it is isomorphic to a direct product of finitely many simple algebras. 展开更多
关键词 congruence permutable extended Ockham algebra symmetric extended de Morgan algebra
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Congruence Permutable Kleene-Stone Algebras
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作者 LUO Congwen, WANG Gaoxia Department of Mathematics, China Three Gorges University, Yichang 443002, Hubei, China 《Wuhan University Journal of Natural Sciences》 CAS 2010年第2期99-102,共4页
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 ch... 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. 展开更多
关键词 Kleene-Stone algebra Kleene-Stone space congruence permutable
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