University of MaraghehSahand Communications in Mathematical Analysis2322-580705120170101Latin-majorization and its linear preservers41472222810.22130/scma.2017.22228ENMohammad AliHadian NadoshanDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.Hamid RezaAfshinDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.Journal Article20160428In 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 ${M_{n,m}}$.https://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdf