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On ∗-Reverse Derivable Maps

2020/02/08 by Gurninder S. Sandhu, Sandhu, Gurninder S., Bruno Leonardo Macedo Ferreira +3
Computer Science · Mathematics · #17C27 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2002.03101

openalex publication_date 2020/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let R be a ring with involution containing a nontrivial symmetric idempotent element e. Let δ: R→ R be a mapping such that δ(ab)=δ(b)a+bδ(a) for all a,b∈ R, we call δ a ∗-reverse derivable map on R. In this paper, our aim is to show that under some suitable restrictions imposed on R, every ∗-reverse derivable map of R is additive.

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