Nonlinear bi-skew Jordan derivations in prime ∗-rings
-
Published:2023-08-05
Issue:
Volume:
Page:
-
ISSN:0219-4988
-
Container-title:Journal of Algebra and Its Applications
-
language:en
-
Short-container-title:J. Algebra Appl.
Author:
Siddeeque Mohammad Aslam1,
Shikeh Abbas Hussain1
Affiliation:
1. Department of Mathematics, Aligarh Muslim University, Aligarh, India
Abstract
Let [Formula: see text] be a unital prime ∗-ring containing a nontrivial symmetric idempotent and let [Formula: see text] be the maximal symmetric ring of quotients of [Formula: see text]. Using the technique of Peirce decomposition and the theory of functional identities, we prove that a map [Formula: see text] satisfies [Formula: see text] for all [Formula: see text] if and only if [Formula: see text] is an additive ∗-derivation unless [Formula: see text] and [Formula: see text]. As an application, we shall characterize such maps in different operator algebras.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory