This article is cited in 5 papers

Necessary conditions for solvability of a system of linear equations over a ring

V. P. Elizarov


Abstract: Necessary conditions for solvability of systems of linear equations over associative rings are considered. In some cases, these conditions are also sufficient for solvability of systems.
This research was supported by the grant 2358.2003.9 of the President of Russian Federation for supporting the leading scientific schools.

UDC: 512.8

Received: 22.04.2003

DOI: 10.4213/dm151

 English version: Discrete Mathematics and Applications, 2004, 14:2, 153–162

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