%0 Journal Article %T On multiplicative (strong) linear preservers of majorizations %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Hadian Nadoshan, Mohammad Ali %A Armandnejad, Ali %D 2016 %\ 06/01/2016 %V 03 %N 2 %P 91-106 %! On multiplicative (strong) linear preservers of majorizations %K Doubly stochastic matrix %K Linear preserver %K Multiplicative map %R %X ‎In this paper, we study some kinds of majorizations on $\textbf{M}_{n}$ and their linear or strong linear preservers. Also, we find the structure of linear or strong linear preservers which are multiplicative, i.e.  linear or strong linear preservers like $\Phi $ with the property $\Phi (AB)=\Phi (A)\Phi (B)$ for every $A,B\in \textbf{M}_{n}$. %U https://scma.maragheh.ac.ir/article_18507_6efe0e20f27345279deaf253dedbf98a.pdf