It is shown that, given a module $M$ over a ring with 1, every direct product of copies of $M$ is a direct sum of modules with local endomorphism rings if and only if ...
The object of this paper is to study the relationship between certain projective modules and their endomorphism rings. Specifically, the basic problem is to describe the projective modules whose ...
Algebraic structures provide a comprehensive framework for understanding systems governed by operations such as addition and multiplication. In this context, noncommutative rings—where the order of ...
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