Ankit Mishra

activity

20202023

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math.AC2023

A sub-functor for Ext and Cohen-Macaulay associated graded modules with bounded multiplicity-II

Ankit Mishra, Tony J. Puthenpurakal

Let $(A, m)$ be a \CM\ local ring, then notion of $T$ -split sequence was introduced in part-1 of this paper for $m$ -adic filtration with the help of numerical…

math.AC2023

On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings-II

Ankit Mishra, Tony J. Puthenpurakal

If $(A, m)$ is a hypersurface ring of dimension $d$ with $e (A) = 3$ . Let $M$ be an MCM $A$ -module with $μ (M) = 4$ then we prove that $\depth{G(M)}\geq d-3$.