-代数上的非线性AB+B*A型导数

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2023-10-01 DOI:10.1051/wujns/2023285379

Fangjuan ZHANG, Xinhong ZHU

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引用次数: 0

摘要

设[见PDF中的公式]是一个单位*-代数，其单位[见PDF中的公式]和一个非平凡投影[见PDF中的公式]。假设[见PDF中的公式]满足[见PDF中的公式]暗示[见PDF中的公式]，[见PDF中的公式]暗示[见PDF中的公式]。本文证明[见PDF中的公式]是一个非线性[见PDF中的公式]类型的推导当且仅当[见PDF中的公式]是一个可加性*-推导。然后将其应用于素数代数，没有中心和型的冯·诺伊曼代数[见PDF中的公式]因子冯·诺伊曼代数和标准算子代数。

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Nonlinear A*B+B*A Type Derivations on *-Algebras

Let [see formula in PDF] be a unital *-algebra with the unit [see formula in PDF] and a nontrivial projection [see formula in PDF]. Suppose that [see formula in PDF] satisfies [see formula in PDF] implies [see formula in PDF] and [see formula in PDF] implies [see formula in PDF] In this paper, we prove that [see formula in PDF] is a nonlinear [see formula in PDF] type derivation on [see formula in PDF] if and only if [see formula in PDF] is an additive *-derivation. This is then applied to prime *-algebra, von Neumann algebras with no central summands of type [see formula in PDF] factor von Neumann algebras and standard operator algebras.

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来源期刊

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.