| Congruence Permutable Symmetric Extended de Morgan Algebras |
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| 作者姓名： | Jie FANG |
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| 作者单位： | Department of Mathematics, Shantou University, Shantou 515063, P. R. China |
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| 基金项目： | Acknowledgement The author expresses his gratitude to Shantou University for supporting this work. |
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| 摘 要： |
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| 关 键 词： | 一致交换性 扩展Ockham代数 de Morgan代数 简单代数 |
| 收稿时间： | 2004-09-09 |
| 修稿时间： | 2004-09-092004-10-25 |
Congruence Permutable Symmetric Extended de Morgan Algebras |
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| Jie FANG.Congruence Permutable Symmetric Extended de Morgan Algebras[J].Acta Mathematica Sinica,2006,22(3):659-664. |
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| Authors: | Jie Fang |
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| Institution: | (1) Department of Mathematics, Shantou University, Shantou 515063, P. R. China |
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| Abstract: | 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. |
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| Keywords: | congruence permutable extended Ockham algebra symmetric extended de Morgan algebra |
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