%0 Journal Article %T Latin-majorization and its linear preservers %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Hadian Nadoshan, Mohammad Ali %A Afshin, Hamid Reza %D 2017 %\ 01/01/2017 %V 05 %N 1 %P 41-47 %! Latin-majorization and its linear preservers %K Doubly stochastic matrix %K Latin-majorization %K Latin square %K Linear preserver %R 10.22130/scma.2017.22228 %X In this paper we study the concept of Latin-majorizati-\\on. Geometrically this concept is different from other kinds of majorization in some aspects. Since the set of all $x$s Latin-majorized by a fixed $y$ is not convex, but, consists of union of finitely many convex sets. Next, we hint to linear preservers of Latin-majorization on $ \mathbb{R}^{n}$ and ${M_{n,m}}$. %U https://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdf