Decidability of involution hypercodes

Decidability of involution hypercodes

Article history: Received 5 March 2013 Received in revised form 4 April 2014 Accepted 15 July 2014 Available online 23 July 2014 Communicated by J. Karhumäki

Involution 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.

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.

Involution Analysis of Field

Decidability and Tameness in the Theory of Finite Semigroups