FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 1, PAGES 119-130

Ph. Hall's theorem on transversals for modules

A. E. Guterman
E. M. Kreines

Abstract

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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.

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Last modified: April 27, 1999