منابع مشابه
Left derivable or Jordan left derivable mappings on Banach algebras
Let $mathcal{A}$ be a unital Banach algebra, $mathcal{M}$ be a left $mathcal{A}$-module, and $W$ in $mathcal{Z}(mathcal{A})$ be a left separating point of $mathcal{M}$. We show that if $mathcal{M}$ is a unital left $mathcal{A}$-module and $delta$ is a linear mapping from $mathcal{A}$ into $mathcal{M}$, then the following four conditions are equivalent: (i) $delta$ is a Jordan left de...
متن کاملleft derivable or jordan left derivable mappings on banach algebras
let $mathcal{a}$ be a unital banach algebra, $mathcal{m}$ be a left $mathcal{a}$-module, and $w$ in $mathcal{z}(mathcal{a})$ be a left separating point of $mathcal{m}$. we show that if $mathcal{m}$ is a unital left $mathcal{a}$-module and $delta$ is a linear mapping from $mathcal{a}$ into $mathcal{m}$, then the following four conditions are equivalent: (i) $delta$ is a jordan left de...
متن کاملCharacterizations of Jordan derivations on triangular rings: Additive maps Jordan derivable at idempotents
Let T be a triangular ring. An additive map δ from T into itself is said to be Jordan derivable at an element Z ∈ T if δ(A)B +Aδ(B) + δ(B)A+Bδ(A) = δ(AB+BA) for any A,B ∈ T with AB + BA = Z. An element Z ∈ T is called a Jordan all-derivable point of T if every additive map Jordan derivable at Z is a Jordan derivation. In this paper, we show that some idempotents in T are Jordan all-derivable po...
متن کاملGeneralized Jordan Triple Higher ∗−Derivations on Semiprime Rings
Let R be an associative ring not necessarily with identity element. For any x, y ∈ R. Recall that R is prime if xRy = 0 implies x = 0 or y = 0, and is semiprime if xRx = 0 implies x = 0. Given an integer n ≥ 2, R is said to be n−torsion free if for x ∈ R, nx = 0 implies x = 0.An additive mapping d : R → R is called a derivation if d(xy) = d(x)y + yd(x) holds for all x, y ∈ R, and it is called a...
متن کاملOn Identities with Additive Mappings in Rings
begin{abstract} If $F,D:Rto R$ are additive mappings which satisfy $F(x^{n}y^{n})=x^nF(y^{n})+y^nD(x^{n})$ for all $x,yin R$. Then, $F$ is a generalized left derivation with associated Jordan left derivation $D$ on $R$. Similar type of result has been done for the other identity forcing to generalized derivation and at last an example has given in support of the theorems. end{abstract}
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ژورنال
عنوان ژورنال: Algebra
سال: 2014
ISSN: 2314-4106,2314-4114
DOI: 10.1155/2014/672387