Samaneh Tabejamaat, Амир Мафи
Abstract
Let [Formula: see text] be a commutative Noetherian ring with nonzero identity and [Formula: see text] be a finitely generated [Formula: see text]-module. This note gives some necessary and sufficient conditions of a module to satisfy the Serre-type condition [Formula: see text].
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Let [Formula: see text] be a commutative Noetherian ring with nonzero identity and [Formula: see text] be a finitely generated [Formula: see text]-module. This note gives some necessary and sufficient conditions of a module to satisfy the Serre-type condition [Formula: see text].
Key concepts: Mathematics, Type (biology), Finitely-generated abelian group, Noetherian ring, Noetherian, Pure mathematics, Commutative ring, Commutative property