reducible submodule

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Semisimple module — In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module that can be understood easily from its parts. A ring which is a semisimple module over… … Wikipedia
Module (mathematics) — For other uses, see Module (disambiguation). In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space, wherein the corresponding scalars are allowed to lie in an arbitrary ring. Modules also… … Wikipedia
Semisimple — This article is about mathematical use. For the philosophical reduction thinking, see Reduction (philosophy). In mathematics, the term semisimple (sometimes completely reducible) is used in a number of related ways, within different subjects. The … Wikipedia

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