Characterization of Jordan two-sided centralizers and related maps on triangular rings

被引：0

作者：

Hosseini, Amin ^{[1
]}

Ali, Shakir ^{[2
]}

Karizaki, Mehdi Mohammadzadeh ^{[3
]}

机构：

[1] Kashmar Higher Educ Inst, Kashmar, Iran

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

[3] Univ Torbat Heydarieh, Dept Comp Engn, Torbat Heydarieh, Iran

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2023年 / 30卷 / 05期

关键词：

Jordan left (resp; right) centralizer; (Jordan) two-sided centralizer; (Jordan) two-sided generalized derivation; triangular ring; GENERALIZED DERIVATIONS; TRIPLE DERIVATIONS; ALGEBRAS; (M;

D O I：

10.1515/gmj-2023-2032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main goal of this paper is to characterize Jordan two-sided centralizers, Jordan centralizers and related maps on triangular rings without identity. As an application of our main theorem, we characterize Jordan generalized derivations on triangular rings. Precisely, we prove that every Jordan generalized derivation on a triangular ring is a two-sided generalized derivation. As consequences, and apart from proving the other results, many known theorems can be either generalized or deduced.

引用

页码：727 / 737

页数：11

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