Tony J. Puthenpurakal

activity

20042008

most citedOn the Upper bound of the Multiplicity Conjecture

1 citations · 3 across the 12 of their papers we have counts for

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12 papers · 1 filter

math.AC2008★ 1 cited

Properties of Koszul homology modules

Uwe Nagel, Tony J. Puthenpurakal

We investigate various module-theoretic properties of Koszul homology under mild conditions. These include their depth, $S_{2}$ -property and their Bass numbers

math.AC2008

The dual Hilbert-Samuel function of a Maximal Cohen-Macaulay module

Tony J. Puthenpurakal, Fahed Zulfeqarr

Let $R$ be a Cohen-Macaulay local ring with a canonical module $ω_{R}$ . Let $I$ be an $\m$-primary ideal of $R$ and $M$ , a maximal Cohen-Macaulay $R$ -module. We call the function $n\…

math.AC2008

On the finite generation of a family of Ext modules

Tony J. Puthenpurakal

Let $Q$ be a Noetherian ring with finite Krull dimension and let $f = f_{1}, ... f_{c}$ be a regular sequence in $Q$ . Set $A = Q / (f)$ . Let $I$ be an ideal in $A$ , and l…

math.AC2008

Ratliff-Rush Filtration, regularity and depth of Higher Associated graded modules: Part II

Tony J. Puthenpurakal

Let $(A,\m)$ be a Noetherian local ring, let $M$ be a finitely generated \CM $A$ -module of dimension $r \geq 2$ and let $I$ be an ideal of definition for $M$ . Set $L^I(M) = \bigopl…

math.AC2007★ 1 cited

An elementary proof of Grothendieck's Non-vanishing Theorem

Tony J. Puthenpurakal

We give an elementary proof of Grothendieck's non-vanishing Theorem: For a finitely generated non-zero module $M$ over a Noetherian local ring $A$ with maximal ideal $\m$, the loca…

math.AC2007★ 1 cited

On the Upper bound of the Multiplicity Conjecture

Tony J. Puthenpurakal

Let $A = K [X_{1}, ..., X_{n}]$ and let $I$ be a graded ideal in $A$ . We show that the upper bound of Multiplicity conjecture of Herzog, Huneke and Srinivasan holds asymptotically (i.e.,…