Tony J. Puthenpurakal

activity

20042026

most citedHilbert polynomials and powers of ideals

41 citations · 103 across the 121 of their papers we have counts for

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Showing 2022Show all

7 papers · 1 filter

math.AC2022

On $G (A)_{Q}$ of rings of finite representation type

Tony J. Puthenpurakal

Let $(A, m)$ be an excellent Henselian Cohen-Macaulay local ring of finite representation type. If the AR-quiver of $A$ is known then by a result of Auslander and Reiten…

math.AC2022

On Coefficient ideals

Tony J. Puthenpurakal

Let $(A, m)$ be a Cohen-Macaulay local ring of dimension $d \geq 2$ with infinite residue field and let $I$ be an $m$ -primary ideal. For $0 \leq i \leq d$ let…

math.AC2022

On a generalization of two results of Happel to commutative rings

Tony J. Puthenpurakal

In this paper we extend two results of Happel to commutative rings. Let $(A, m)$ be a commutative Noetherian local ring. Let $D_{f}^{b} (m o d A)$ be the bounded derived cate…

math.AC2022

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

Ankit Mishra, Tony J. Puthenpurakal

Let $A = Q / (f)$ where $(Q, n)$ be a complete regular local ring of dimension $d + 1$ , $f \in n^{i} ∖ n^{i + 1}$ for some $i \geq 2$ and $M$ an MCM $A -$ m…

math.AC2022★ 1 cited

Integrally closed $m$ -primary ideals have extremal resolutions

Dipankar Ghosh, Tony J. Puthenpurakal

We show that every integrally closed $m$ -primary ideal $I$ in a commutative Noetherian local ring $(R, m, k)$ has maximal complexity and curvature, i.e., $ {\rm…

math.AC2022

Graded components of local cohomology modules supported on $C$ -monomial ideals

Tony J. Puthenpurakal, Sudeshna Roy

Let $A$ be a Dedekind domain of characteristic zero such that its localization at every maximal ideal has mixed characteristic with finite residue field. Let $R = A [X_{1}, \dots, X_{n}]$ …

On G(A)Q​ of rings of finite representation type

On Coefficient ideals

On a generalization of two results of Happel to commutative rings

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

Integrally closed m-primary ideals have extremal resolutions

Graded components of local cohomology modules supported on C-monomial ideals

On $G (A)_{Q}$ of rings of finite representation type

Integrally closed $m$ -primary ideals have extremal resolutions

Graded components of local cohomology modules supported on $C$ -monomial ideals