Structure of some additive maps in prime rings with involution

被引：0

作者：

Mohammad Aslam Siddeeque ^{[1
]}

Abbas Hussain Shikeh ^{[1
]}

Raof Ahmad Bhat ^{[1
]}

机构：

[1] Department of Mathematics, Aligarh Muslim University, Aligarh

来源：

ANNALI DELL'UNIVERSITA' DI FERRARA | 2025年 / 71卷 / 2期

关键词：

Derivation; Involution; Prime ring;

D O I：

10.1007/s11565-025-00580-6

中图分类号：

学科分类号：

摘要：

Let R be a noncommutative prime ring equipped with an involution ‘∗’, and let Qml(R) be the maximal left ring of quotients of R. The objective of this paper is to characterize additive maps H:R→Qml(R) that satisfy any one of the following conditions. (i) H(srs)=H(s)s∗r∗+sH(r)s∗+srH(s) for all s,r∈R. (ii) H(s∗s)=H(s∗)s+s∗H(s) for all s∈R. © The Author(s) under exclusive license to Università degli Studi di Ferrara 2025.

引用

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