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5. A direct product decomposition of QMV algebras

A direct product decomposition of QMV algebras

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：whiterain

【摘 要】

：

我们学习量的直接产品分解概括 ortholattices (orthomodular 格子) 的分解定理的珍视许多的代数学(QMV 代数学) 。为给定的 QMV 代数学的一个幂等元素，如果它与 QMV 代数学的

【作 者】

：

Xian Lu (1) luxian@amss.ac.cn 

【机 构】

：

AcadMath&,SystSci,ChineseAcadSci

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2012年4期

【关键词】

：

代数分解 产品 正交模格 元素组成 分解定理 子代数 幂等 量子 QMV algebra  commutativity  idempotent  decompo 

【基金项目】

：

supported by National Natural Science Foundation of China (Grant Nos. 60736011, 61073023 and 60603002),,the National Basic Research Program of China (973 Program) (Grant No. 2009CB320701)

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论文部分内容阅读

我们学习量的直接产品分解概括 ortholattices (orthomodular 格子) 的分解定理的珍视许多的代数学(QMV 代数学) 。为给定的 QMV 代数学的一个幂等元素，如果它与 QMV 代数学的每个元素变换，详细，它能导致 QMV 代数学的直接产品分解。同时，我们在 QMV 代数学介绍集合 S 的 commutant C，并且证明当 S 由幂等元素组成时， C 是 QMV 代数学的 subalgebra。这也概括 orthomodular 格子的盒子。

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