Short notes

Monotone matrix maps and Skolem–Noether theorem

M. A. Efimov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

UDC: 512.643

Received: 14.03.2011

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2012, 67:5-6, 221–223

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