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 کاملInvolution Matrices of Real Quaternions
An involution or anti-involution is a self-inverse linear mapping. In this paper, we will present two real quaternion matrices, one corresponding to a real quaternion involution and one corresponding to a real quaternion anti-involution. Moreover, properties and geometrical meanings of these matrices will be given as reflections in R^3.
متن کامل2-local Mappings on Algebras with Involution
We investigate 2-local ∗-automorphisms, 2-local ∗-antiautomorphisms, and 2-local Jordan ∗-derivations on certain algebras with involution.
متن کامل*-orderings on a Ring with Involution
The object of the paper is to extend part of the theory of-orderings on a skewweld with involution to a general ring with involution. The valuation associated to a-ordering is examined. Every-ordering is shown to extend.-orderings are shown to form a space of signs as deened by Brr ocker and Marshall. In case the involution is the identity, the ring under consideration is commutative and the-or...
متن کاملOn Involution Rings with Unique Minimal *-subring
The structure of certain involution rings having a unique minimal *-subring, is described.
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ژورنال
عنوان ژورنال: The Mathematical Gazette
سال: 1897
ISSN: 0025-5572
DOI: 10.2307/3604954