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math.AC2019★ 1 cited

On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring

Dinh Thanh Trung

We present algorithms for the computation of the Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring of equigenerated $\mm$-primary ideals in two variables. Ap…

math.AC2019

On the index of reducibility of parameter ideals: The stable and limit values

Nguyen Tu Cuong, Pham Hung Quy

Let be a Noetherian local ring and a finitely generated -module of dimension . A famous result of Northcott says that if is Cohen-Macaulay, then the in…

math.AC2017

Tight closure of parameter ideals in local rings -rational on the punctured spectrum

Pham Hung Quy

Let be an excellent equidimensional local ring of characteristic . The aim of this paper is to show that does not…

math.AC2014

On the index of reducibility in Noetherian modules

Nguyen Tu Cuong, Pham Hung Quy, Hoang Le Truong

Let be a finitely generated module over a Noetherian ring and a submodule. The index of reducibility ir is the number of irreducible submodules that appear in an…

math.AC2014

Attached primes of local cohomology modules under localization and completion

Le Thanh Nhan, Pham Hung Quy

Let $(R,\m)$ be a Noetherian local ring and a finitely generated -module. Following I. G. Macdonald \cite{Mac}, the set of all attached primes of the Artinian local cohomolo…