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%Armandnejad
%Ali","armandnejad@yahoo.com","
\section{Right gw-majorization on $ \mathbf{M}_{n,m}$} By {A. Armandnejad}  

\medskip  \noindent Let $\mathbf{M}_{n,m}$ be the set of all $n\times m$   matrices with entries in $\mathbb{F}$ , where $\mathbb{F}$ is the field of real or complex numbers.   An $n\times n$ matrix R is said to be a g-row stochastic matrix if Re=e, where $ e= (1,...,1)^{t}\in \mathbb{F}^{n}$.   We introduce the right gw-majorization on $\mathbf{M}_{n,m}$ which it say that an $n\times m$ matrix A is     right gw-majorized by an $n\times m$ matrix B   and denoted by $ B\succ_{rwg}A$, if there exits a g-row stochastic matrix R such that A=BR. In this paper we study some properties of the right gw-majorization and finally  all linear operators that strongly preserve the right gw-majorization will become characterized.
%Linear preserver, strong linear preserver, g-row stochastic matrices, right gw-majorization","15A03","15A04","","23:48:32","Thu Feb 28 2008","80.191.162.233"
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