2017/09/15 by Alexander Guterman, Guterman, Alexander, Marianne Johnson +3
Mathematics · Biochemistry, Genetics and Molecular Biology · #Advanced Topics in Algebra #Protein Degradation and Inhibitors
paper · pdf · doi:10.48550/arxiv.1709.05277
In this paper we characterize those linear bijective maps on the monoid of\nall n \× n square matrices over an anti-negative semifield which preserve\nand strongly preserve each of Green's equivalence relations \L,\n\R, \D, \J and the corresponding three\npre-orderings \≤_\L, \≤_\R, \≤_\J. These\nresults apply in particular to the tropical and boolean semirings, and for\nthese two semirings we also obtain corresponding results for the \H\nrelation.\n