Samarendra Sahoo

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20232026

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math.AC2026

Bounds on Hilbert coefficients of Cohen-Macaulay modules having finite projective dimension

Samarendra Sahoo

Let $(A, m)$ be a Gorenstein local ring with $G (A)$ Cohen-Macaulay, and let $M$ be a Cohen-Macaulay $A$ -module of finite projective dimension. In \cite{Quasipure}, the au…

math.AC2026

Integrally closed ideals with $e_{2} (I) = e_{1} (I) - e_{0} (I) + λ (A / I)$

Shruti Priya, Samarendra Sahoo

Let $(A, m)$ be a Cohen-Macaulay local ring of dimension $d .$ We introduce and study the notion of the generalized type of $A$ with respect to an $m$ -primary i…

Bounds on Hilbert coefficients of Cohen-Macaulay modules having finite projective dimension

Integrally closed ideals with e2​(I)=e1​(I)−e0​(I)+λ(A/I)

Integrally closed ideals with $e_{2} (I) = e_{1} (I) - e_{0} (I) + λ (A / I)$