Susan Karimi, Sh. Payrovi
Abstract
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Let $R$ be a commutative Noetherian ring, $I, J$ two proper ideals of $R$ and let $M$ be a non-zero finitely generated $R$-module with $c={\rm cd}(I,J,M)$. In this paper, we first introduce $T_R(I,J,M)$ as the largest submodule of $M$ with the property that ${\rm cd}(I,J,T_R(I,J,M))
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Let $R$ be a commutative Noetherian ring, $I, J$ two proper ideals of $R$ and let $M$ be a non-zero finitely generated $R$-module with $c={\rm cd}(I,J,M)$. In this paper, we first introduce $T_R(I,J,M)$ as the largest submodule of $M$ with the property that ${\rm cd}(I,J,T_R(I,J,M))
Key concepts: Mathematics, Noetherian ring, Local cohomology, Zero (linguistics), Local ring, Dimension (graph theory), Integer (computer science), Combinatorics