Multiplicative Jordan type higher Derivations of Unital Rings with non trivial Idempotents

被引：1

作者：

Kawa, Ab Hamid ^{[1
]}

Hasan, S. N. ^{[1
]}

Wani, Bilal Ahmad ^{[2
]}

机构：

[1] Maulana Azad Natl Urdu Univ, Dept Math, Hyderabad 500032, India

[2] Natl Inst Technol, Dept Math, Srinagar 190006, India

来源：

ADVANCES IN PURE AND APPLIED MATHEMATICS | 2023年 / 14卷 / 01期

关键词：

Jordan derivations; derivations; unital rings; matrix algebras; LIE-TYPE DERIVATIONS; DERIVABLE MAPS; ALGEBRAS; MAPPINGS; TRIPLE;

D O I：

10.21494/ISTE.OP.2023.0905

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose is a non-zero unital associative ring with a nontrivial idempotent "e". In this paper, we prove that under some mild conditions every multiplicative jordan n-higher derivations on is additive. Moreover, at the end of the paper, we have presented some applications of multiplicative Jordan n-higher derivations on triangular rings, nest algebra, upper triangular block matrix algebra, prime rings, von Neumann algebras.

引用

页码：36 / 49

页数：14

共 34 条

[1] Characterization of multiplicative Jordan n-higher derivations on unital rings
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[8] Characterizing Jordan n-Derivations of Unital Rings Containing Idempotents
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[9] Generalized Jordan N-Derivations of Unital Algebras with Idempotents
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[10] Multiplicative Jordan *-derivations on rings with involution
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