On the structure of some nonlinear maps in prime *-rings

被引：0

作者：

Siddeeque, Mohammad Aslam ^{[1
]}

Shikeh, Abbas Hussain ^{[1
]}

Bhat, Raof Ahmad ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

来源：

FILOMAT | 2024年 / 38卷 / 01期

关键词：

Involution; prime ring; skew Lie product; strong skew commutativity preserving map; COMMUTATIVITY PRESERVING-MAPS; LIE TRIPLE PRODUCTS;

D O I：

10.2298/FIL2401261S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to introduce the notion of skew Lie centralizers in *-rings, and to investigate the structure of skew Lie centralizers and strong skew commutativity preserving maps in prime *-rings without assuming the existence of a symmetric idempotent and the unital element. As an application, we shall characterize such maps in different operator algebras.

引用

页码：261 / 269

页数：9

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