Kamran Divaani-Aazar, Reza Sazeedeh
Abstract
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Let ${\mathfrak a}$ denote an ideal of a commutative Noetherian ring $R$, and $M$ and $N$ two finitely generated $R$-modules with $\mathop{\rm pd} M< \infty$. It is shown that if either ${\mathfrak a}$ is principal, or $R$ is complete local and ${\mathfr
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Let ${\mathfrak a}$ denote an ideal of a commutative Noetherian ring $R$, and $M$ and $N$ two finitely generated $R$-modules with $\mathop{\rm pd} M< \infty$. It is shown that if either ${\mathfrak a}$ is principal, or $R$ is complete local and ${\mathfr
Key concepts: Mathematics, Local cohomology, Noetherian ring, Finitely-generated abelian group, Ideal (ethics), Commutative property, Local ring, Noetherian