A Note on Pair of Left Centralizers in Prime Ring with Involution
نویسندگان
چکیده
The purpose of this paper is to study pair left centralizers in prime rings with involution satisfying certain identities.
منابع مشابه
On centralizers of prime rings with involution
Let $R$ be a ring with involution $*$. An additive mapping $T:Rto R$ is called a left(respectively right) centralizer if $T(xy)=T(x)y$ (respectively $T(xy)=xT(y)$) for all $x,yin R$. The purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.
متن کاملA Note on Jordan Left ∗-Centralizers in Rings with Involution
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: Kragujevac journal of mathematics
سال: 2021
ISSN: ['2406-3045', '1450-9628']
DOI: https://doi.org/10.46793/kgjmat2102.225m