Jordan &Gamma;*-Derivation on Semiprime &Gamma;-Ring <i>M</i> with Involution
نویسندگان
چکیده
منابع مشابه
A Note on Jordan∗− Derivations in Semiprime Rings with Involution
In this paper we prove the following result. Let R be a 6−torsion free semiprime ∗−ring and let D : R → R be an additive mapping satisfying the relation D(xyx) = D(x)y∗x∗ + xD(y)x∗ + xyD(x), for all pairs x, y ∈ R. In this case D is a Jordan ∗−derivation. Mathematics Subject Classification: 16W10, 39B05
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Let A be a unital R-algebra and M be a unital A-bimodule. It is shown that every Jordan derivation of the trivial extension of A by M, under some conditions, is the sum of a derivation and an antiderivation.
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Let R be a ring with involution. An additive mapping T : R → R is called a left ∗-centralizer (resp. Jordan left ∗-centralizer) if T (xy) = T (x)y∗ (resp. T (x2) = T (x)x∗) holds for all x, y ∈ R, and a reverse left ∗-centralizer if T (xy) = T (y)x∗ holds for all x, y ∈ R. The purpose of this paper is to solve some functional equations involving Jordan left ∗-centralizers on some appropriate su...
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ژورنال
عنوان ژورنال: Advances in Linear Algebra & Matrix Theory
سال: 2016
ISSN: 2165-333X,2165-3348
DOI: 10.4236/alamt.2016.62006