Monotone mappings of matrices and Skolem-Noeter theorem / M. A. Efimov. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. ? 5. P. 46-49 [Moscow Univ. Math. Bulletin. Vol. 67, N 5, 2012.].

Monotone matrix maps induced by a group inverse are considered. The characterization is given in additive and continious cases. The ring version of Skolem-Noether theorem is obtained. A series of examples of nonlinear monotone maps are presented.

Key words: monotone maps, group inverse, Skolem-Noether theorem.