| 一类特殊的双重K_(1,1)代数的子代数 |
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| 引用本文： | 方捷,柴日升. 一类特殊的双重K_(1,1)代数的子代数[J]. 汕头大学学报(自然科学版), 2008, 23(2): 8-15 |
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| 作者姓名： | 方捷 柴日升 |
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| 作者单位： | 汕头大学理学院数学系,广东汕头,515063 |
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| 摘 要： | 考虑双重K1,1代数的一个特殊子代数类,称之为K-代数.刻画了K-代数的主同余关系表达式,证明了它的所有紧致的同余关系构成一个对偶Stone格,并利用Priestley对偶理论证明了K-代数类中有且仅有26个非同构的次直不可约代数.
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| 关 键 词： | 双重K1,1代数 同余关系 次直不可约 Priestley对偶 |
| 文章编号： | 1001-4217(2008)02-0008-07 |
| 修稿时间： | 2007-10-26 |
A Special Subalgebra of Double K1,1 Algebra |
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| FANG Jie,CHAI Ri-sheng. A Special Subalgebra of Double K1,1 Algebra[J]. Journal of Shantou University(Natural Science Edition), 2008, 23(2): 8-15 |
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| Authors: | FANG Jie CHAI Ri-sheng |
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| Affiliation: | (Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China) |
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| Abstract: | In this paper, a special subclass of double K1,1 algebra, called the class of K- algebras is considered. The principal congruence relations of K-algebras are characterized. All the compact congruence relations are shown to form a dual Stone lattice. It is proved via Priestley duality that there are precisely twenty six non-isomorphic subdirectly irreducible members in the class K-algebras. |
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| Keywords: | double K1,1 algebra congruence relation subdirectly irreducible Priestley duality |
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