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orientation preserving isomorphism的中文,翻译,解释,例句

orientation preserving isomorphism

orientation preserving isomorphism的基本解释
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保持定向同构

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We show that Jordan multiplicative bijective maps on prime operator algebrasmust be additive. As its application, we show that every Jordan * multiplicative bijec-tive map on every factor C~* algebra is a C~* isomorphism or a conjugate C~* isomorphism,in the special case of B, it must be a *-isomorphism or a conjugate *-isomorphism.We also prove the additivity of Jordan multiplicative bijective maps on nest algebras.

证明了素算子代数上Jordan可乘双射的可加性,利用这一结论刻画了因子C~*代数上的Jordan*可乘双射,我们的结果表明这样的映射一定是C~*同构或共轭C~*同构;证明了套代数上的Jordan可乘双射的可加性。

The key concepts are "isomorphism" and "symmetric isomorphism" which are used to describe the relation between two search domains, the key results are "Structure Theorem","Isomorphism Theorem" and "Isomorphism Classification Theorem".

核心的概念是非常重要的用于描述搜索域之间相互关系的"同构"与"对称同构",核心结果是"结构定理","同构定理"和"同构类定理"。

This paper studies the invariant, which is the linear preserving problem based on generalized inverse of matrices. The generalized inverse of matrices and the research status of preserving problems of generalized inverse are outlined. In the basis of deeply understanding the basic knowledge of linear maps, the definition, characteristics of generalized inverse and decomposition of matrix, the author analyzes the decomposition form of preserving idempotence and preserving tripotence in the PID, then studies on the linear maps form of preserving group inverses of symmetric matrices.

本文研究的不变量是矩阵广义逆线性算子的保持问题,概述了广义逆矩阵,广义逆保持问题的研究现状,在对线性映射的基础知识,广义逆矩阵的定义、性质和矩阵的分解深入理解的基础上,深入分析了保幂等、保立方幂等矩阵在主理想整环上的分解形式,继而研究了保对称矩阵群逆的线性算子形式。

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orientation preserving isomorphism:保持定向同构

orientation preserving automorphism 保持定向自同构 | orientation preserving isomorphism 保持定向同构 | orientation preserving parameter transformation 保持定向参数变换