Multiplicative anti-derivations of generalized n-matrix rings

被引：2

作者：

Ferreira, B. L. M. ^{[1
]}

Sandhu, G. S. ^{[2
]}

机构：

[1] Fed Univ Technol Parana Brazil, Professora Laura Pacheco Bastos Ave 800, BR-85053510 Guarapuava, PR, Brazil

[2] Patel Mem Natl Coll, Dept Math, Rajpura 140401, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 04期

关键词：

Additivity; multiplicative anti-derivation; derivation; generalized n-matrix rings; FUNCTIONAL-EQUATIONS; ADDITIVITY; MAPPINGS; MAPS;

D O I：

10.1142/S0219498824500798

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that every multiplicative anti-derivation map of an arbitrary generalized n-matrix ring is additive. Even more, as consequence, we get the same conclusion for the class of triangular n-matrix rings, unital prime rings with a nontrivial idempotent, standard operator algebras and factor von Neumann algebras.

引用

页数：10

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