Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483766 | Journal of the Egyptian Mathematical Society | 2016 | 5 Pages |
Abstract
The objective of this paper is to study Jordan ∗∗-mappings in rings with involution ∗∗. In particular, we prove that if R is a prime ring with involution ∗∗, of characteristic different from 2 and D is a nonzero Jordan ∗∗-derivation of R such that [D(x),x]=0[D(x),x]=0, for all x∈Rx∈R and S(R)∩Z(R)≠(0), then R is commutative. Further, we also prove a similar result in the setting of Jordan left ∗∗-derivation. Finally, we prove that any symmetric Jordan triple ∗∗-biderivation on a 2-torsion free semiprime ring with involution ∗∗ is a symmetric Jordan ∗∗-biderivation.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Shakir Ali, Nadeem Ahmad Dar, Dušan Pagon,