Let G be a group and V a finite-dimensional complex G-module. It is shown that G is (isomorphic to) a submodule of a direct sum $W_1 \oplus\cdots\oplus W_s$ where ...
In this paper, we introduce and study some new generalizations of second submodules via a function φ on the set of all submodules of a module. Let R be a ring with non-zero identity, M be an R-module ...
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