S. I. Bilavska, B. V. Zabavsky
In this paper we consider analogues of Cohen's theorem. We introduce new notions of almost prime left (right) submodule
-prime left (right) ideal, this allows us to extend Cohen's theorem for modular and non-commutative analogues.
We prove that if every almost prime submodule of a finitely generated module is a finitely generated submodule, then any
submodule of this module is finitely generated.
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