| Stone泛补代数 |
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| 引用本文： | 张玉琦.Stone泛补代数[J].数学学报,2005,48(4):637-646. |
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| 作者姓名： | 张玉琦 |
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| 作者单位： | 内蒙古师范大学科学史研究所 呼和浩特 |
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| 摘 要： | 本文定义并研究泛补代数和Stone泛补代数,得到Stone泛补代数的泛补骨架B*(L),素滤子和三元组(B*(L),D*(L),(?)(L))刻画,又得到Stone泛补代数是次直既约Stone泛补代数的次直积的充要条件以及泛补代数是相对Stone泛补代数的特征.
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| 关 键 词： | 泛补代数 Stone泛补代数 次直既约Stone泛补代数 |
Stonean Generalcomplemented Algebras |
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| Yu Qi ZHANG Institute for History of Science,NeiMongolia Normal University,Huhhot ,P. R. China.Stonean Generalcomplemented Algebras[J].Acta Mathematica Sinica,2005,48(4):637-646. |
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| Authors: | Yu Qi ZHANG Institute for History of Science NeiMongolia Normal University Huhhot P R China |
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| Institution: | Yu Qi ZHANG Institute for History of Science, NeiMongolia Normal University, Huhhot 010022, P. R. China |
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| Abstract: | This paper defines and studies generalcomplemented algebras and Stonean generalcomplemented algebras, and obtains some fundamental results: the characterizations of the Stonean generalcomplemented algebra L by its skeleton B* (L), prime filters and triple (B*(L),D*(L),(?)(L)); the necessary and sufficient condition that the Stonean generalcomplemented algebra L could be represented as the subdirect product of the subdirectly irreducible Stonean generalcomplemented algebras, and the characteristics of the relatively Stonean generalcomplemented algebras. |
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| Keywords: | Generalcomplemented algebras Stonean generalcomplemented algebra Subdirectly irreducible Stonean generalcomplemented algebras |
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