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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12 papers · 1 filter

math.AC2023★ 1 cited

Derived functors and Hilbert polynomials over regular local rings

Tony J. Puthenpurakal

Let $(A, m)$ be a regular local ring of dimension $d \geq 1$ , $I$ an $m$ -primary ideal. Let $N$ be a non-zero finitely generated $A$ -module. Consider the funct…

math.AC2023

Bockstein cohomology of Maximal Cohen-Macaulay modules over Gorenstein isolated singularities

Tony J. Puthenpurakal

Let $(A, m)$ be an excellent equi-charateristic Gorenstein isolated singularity of dimension $d \geq 2$ . Assume the residue field of $A$ is perfect. Let $I$ be any $\math…

math.AC2023

On certain DG-algebra resolutions

Tony J. Puthenpurakal

In this paper we give several classes of Non-Gorenstein local rings $A$ which satisfy the property that $Ext_{A}^{i} (M, A) = 0$ for $i ≫ 0$ then $projdim_{A} M$ is finite…

math.AC2023

Quasi-pure resolutions and some lower bounds of Hilbert coefficients of Cohen-Macaulay modules

Tony J. Puthenpurakal, Samarendra Sahoo

Let $(A, m)$ be a Gorenstein local ring and let $M$ be a finitely generated Cohen Macaulay $A$ module. Let $G (A) = ⨁_{n \geq 0} m^{n} / m^{n + 1}$ be…

math.AC2023

Lengths of modules over short Artin local rings

Tony J. Puthenpurakal

Let $(A, m)$ be a short Artin local ring (i.e., $m^{3} = 0$ and $m^{2} \neq = 0$ ). Assume $A$ is not a hypersurface ring. We show there exists $c_A \geq 2…

math.AC2023

Koszul homology of $F$ -finite module and applications

Tony J. Puthenpurakal

Let $k$ be an infinite field of characteristic $p > 0$ and let $R = k [Y_{1}, \dots, Y_{d}]$ (or $R = k [[Y_{1}, \dots, Y_{d}]]$ ). Let $F : Mod (R) \to Mod (R)$ be t…

Derived functors and Hilbert polynomials over regular local rings

Bockstein cohomology of Maximal Cohen-Macaulay modules over Gorenstein isolated singularities

On certain DG-algebra resolutions

Quasi-pure resolutions and some lower bounds of Hilbert coefficients of Cohen-Macaulay modules

Lengths of modules over short Artin local rings

Koszul homology of F-finite module and applications

Koszul homology of $F$ -finite module and applications