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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, Number 5, Pages 46–49 (Mi vmumm530)  

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.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation МД-2535.2009.1


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

Bibliographic databases:

UDC: 512.643
Received: 14.03.2011

Citation: M. A. Efimov, “Monotone matrix maps and Skolem–Noether theorem”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5, 46–49; Moscow University Mathematics Bulletin, 67:5-6 (2012), 221–223

Citation in format AMSBIB
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\by M.~A.~Efimov
\paper Monotone matrix maps and Skolem--Noether theorem
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 5
\pages 46--49
\mathnet{http://mi.mathnet.ru/vmumm530}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3076499}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 5-6
\pages 221--223
\crossref{https://doi.org/10.3103/S0027132212050075}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870929534}


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