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.
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We study the Moore–Penrose inverse (MP-inverse) in the setting of rings with involution. The results include the relation between regular, MPinvertible and well-supported elements. We present an algebraic proof of the reverse order rule for the MP-inverse valid under certain conditions on MP-invertible elements. Applications to C∗-algebras are given. 2000 Mathematics Subject Classification: 46L...
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Many classical results concerning quadratic forms have been extended to Hermitian forms over algebras with involution. However, not much is known in the case of sesquilinear formswithout any symmetry property. The present paperwill establish aWitt cancellation result, an analogue of Springer’s theorem, as well as some local–global and finiteness results in this context. © 2013 Elsevier B.V. All...
متن کاملOn Involution Rings with Unique Minimal *-subring
The structure of certain involution rings having a unique minimal *-subring, is described.
متن کاملon 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.
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ژورنال
عنوان ژورنال: Asian Journal of Algebra
سال: 2019
ISSN: 1994-540X
DOI: 10.3923/aja.2020.1.5