Integral Closure gives an account of theoretical and algorithmic developments on the
integral closure of algebraic structures. These are shared concerns in commutative algebra …

Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are
becoming increasingly important also in Computational Algebra. They capture many useful …

In this paper we inject four Hilbert functions in the determination of the defining equations of
the Rees algebra of almost complete intersections of finite co-length. Because three of the …

Full article: Upper Bound for the Castelnuovo-Mumford Regularity of Associated Graded Modules
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

We establish strong relationships between the Castelnuovo–Mumford regularity and the
Ratliff–Rush closure of an ideal. Our results have several interesting consequences on the …

Hilbert functions of Cohen–Macaulay local rings Page 190 Contemporary Mathematics Volume
555 , 2011 Hilbert Functions of Cohen-Macaulay local rings Maria Evelina Rossi Abstract. This …

Let $(R,\frak m) $ be a homomorphic image of a Cohen-Macaulay local ring and $ M $ a
finitely generated $ R $-module. We use the splitting of local cohomology to shed a new light …

arXiv:1907.11427v1 [math.AC] 26 Jul 2019 Page 1 arXiv:1907.11427v1 [math.AC] 26 Jul 2019
CASTELNUOVO-MUMFORD REGULARITY AND RELATED INVARIANTS NGˆO VIÊT TRUNG …

On the computation of the Ratliff–Rush closure - ScienceDirect Skip to main contentSkip to
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We prove new results on the interplay between reduction numbers and the Castelnuovo–
Mumford regularity of blowup algebras and blowup modules, the key basic tool being the …