Tony J. Puthenpurakal

collaborators

26 papers

math.AC2026

On generalization of two results of Foxby

Let $(A, m)$ be a Noetherian local ring of dimension $d$ and let $M$ be a finitely generated $A$ -module. Assume $M$ has rank $r > 0$ . We show that if $M$ is NOT Cohen-Mac…

math.AC2026

Derived functors and Hilbert polynomials over Gorenstein rings

Satyabrata Paul, Tony J. Puthenpurakal

Let $(A, m, k)$ be a Gorenstein ring of dimension $d \geq 1$ , $N$ a perfect module of dimension $t \geq 1$ and $I$ an ideal of definition of $N$ . For a non-free maximal Cohen-…

math.AC2026

A Generalization of a Theorem of Nakajima-Landweber-Stong

Shubham Jaiswal, Tony J. Puthenpurakal

The main result of this paper is a generalization of a theorem of Nakajima-Landweber-Stong to the modular invariant rings of transvection groups over Dedekind domains. More precise…

math.AC2026

On unmixed and equi-dimensional associated graded rings

Tony J. Puthenpurakal, Samarendra Sahoo

Let $(A, m)$ be an analytically un-ramified Noetherian local ring of dimension $d \geq 1$ , $I$ a regular $m$ -primary ideal of $A$ and let $I$ be int…

math.AC2026

On Bass numbers of graded components of local cohomology modules supported on $C$ -monomial ideals in mixed characteristic

Sayed Sadiqul Islam, Tony J. Puthenpurakal

Let $A$ be a Dedekind domain of characteristic zero such that for each height one prime ideal $p$ in $A$ , the local ring $A_{p}$ has mixed characteristic with…

math.AC2026

Asymptotic behaviour of bigraded components of local cohomology modules

Rajsekhar Bhattacharyya, Tony J. Puthenpurakal, Sudeshna Roy +1

Let $C$ be a commutative Noetherian ring containing a field $K$ of characteristic zero. Let $R = C [X_{1}, \dots, X_{n}, Y_{1}, \dots, Y_{m}]$ be a polynomial ring over $C$ with $\mathrm{bi…

On generalization of two results of Foxby

Derived functors and Hilbert polynomials over Gorenstein rings

A Generalization of a Theorem of Nakajima-Landweber-Stong

On unmixed and equi-dimensional associated graded rings

On Bass numbers of graded components of local cohomology modules supported on C-monomial ideals in mixed characteristic

Asymptotic behaviour of bigraded components of local cohomology modules

On Bass numbers of graded components of local cohomology modules supported on $C$ -monomial ideals in mixed characteristic