Title

Jordan Elementary Maps On Rings

Keywords

Additivity; Jordan elementary maps; Rings

Abstract

Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring. Suppose that M:ℛ→ℛ′ and M*:ℛ′→ℛ are surjective maps such thatM(xM*(y)x) = M(x)yM(x),M*(yM(x)y) = M*(y)xM*(y)for all xℛ, yℛ′. Then both M and M* are additive. In particular, a bijective map φ:ℛ→ℛ′ satisfying φ(xyx) = φ(x)φ(y)φ(x) for all x,yℛ is additive. © 2004 Elsevier Inc. All rights reserved.

Publication Date

5-1-2004

Publication Title

Linear Algebra and Its Applications

Volume

382

Issue

1-3

Number of Pages

237-245

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.laa.2003.12.037

Socpus ID

1842612363 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/1842612363

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