University of MaraghehSahand Communications in Mathematical Analysis2322-580703220160601On multiplicative (strong) linear preservers of majorizations9110618507ENMohammad Ali Hadian NadoshanDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.Ali ArmandnejadDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.Journal Article20151224In 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 $A,Bin textbf{M}_{n}$.http://scma.maragheh.ac.ir/article_18507_6efe0e20f27345279deaf253dedbf98a.pdf