Solvable and locally closed modules and rings

V. P. Elizarov

We describe the classes of all modules and all rings such that any system of linear equations over them is solvable if and only if it is concordant with linear relations.

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Discrete Mathematics and Applications provides the latest information on the development of discrete mathematics in Russia to a world-wide readership. The journal covers various subjects in the fields such as combinatorial analysis, graph theory, functional systems theory, cryptology, coding, probabilistic problems of discrete mathematics, algorithms and their complexity, combinatorial and computational problems of number theory and of algebra.