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Fundamentalnaya i Prikladnaya Matematika, 1999, Volume 5, Issue 1, Pages 119–130 (Mi fpm372)  
Ph. Hall's theorem on transversals for modules

A. È. Guterman, E. M. Kreines

M. V. Lomonosov Moscow State University
Full-text PDF (517 kB)
Abstract: The necessary and sufficient condition for the semisimple module matching is obtained. Also the case of arbitrary modules over associative ring is considered. The proof is based on module theory and matroid theory.
Received: 01.12.1996
Bibliographic databases:
UDC: 512.553+519.112
Language: Russian
Citation: A. È. Guterman, E. M. Kreines, “Ph. Hall's theorem on transversals for modules”, Fundam. Prikl. Mat., 5:1 (1999), 119–130
Citation in format AMSBIB
\Bibitem{GutKre99}
\by A.~\`E.~Guterman, E.~M.~Kreines
\paper Ph.~Hall's theorem on transversals for modules
\jour Fundam. Prikl. Mat.
\yr 1999
\vol 5
\issue 1
\pages 119--130
\mathnet{http://mi.mathnet.ru/fpm372}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1799540}
\zmath{https://zbmath.org/?q=an:0995.16011}
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    		Фундаментальная и прикладная математика
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