Ryo Takahashi
Abstract
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In this note, we study commutative Noetherian local rings having finitely generated modules of finite Gorenstein injective dimension. In particular, we consider whether such rings are Cohen-Macaulay.
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In this note, we study commutative Noetherian local rings having finitely generated modules of finite Gorenstein injective dimension. In particular, we consider whether such rings are Cohen-Macaulay.
Key concepts: Injective function, Mathematics, Noetherian, Finitely-generated abelian group, Commutative property, Local ring, Dimension (graph theory), Pure mathematics