Square-free Gröbner degenerations

A Conca, M Varbaro - Inventiones mathematicae, 2020 - Springer
Let I be a homogeneous ideal of S= K x_1, ..., x_n S= K x 1,…, xn and let J be an initial ideal
of I with respect to a term order. We prove that if J is radical then the Hilbert functions of the …

Finite filtrations of modules and shellable multicomplexes

J Herzog, D Popescu - manuscripta mathematica, 2006 - Springer
Finite filtrations of modules and shellable multicomplexes Page 1 manuscripta math. 121,
385–410 (2006) © Springer-Verlag 2006 Jürgen Herzog · Dorin Popescu Finite filtrations of …

[PDF][PDF] On the radical of a monomial ideal

J Herzog, Y Takayama, N Terai - arXiv preprint math/0412140, 2004 - arxiv.org
arXiv:math/0412140v1 [math.AC] 7 Dec 2004 Page 1 arXiv:math/0412140v1 [math.AC] 7 Dec
2004 ON THE RADICAL OF A MONOMIAL IDEAL JÜRGEN HERZOG, YUKIHIDE TAKAYAMA …

Whiskers and sequentially Cohen–Macaulay graphs

CA Francisco, HT Hà - Journal of Combinatorial Theory, Series A, 2008 - Elsevier
We investigate how to modify a simple graph G combinatorially to obtain a sequentially
Cohen–Macaulay graph. We focus on adding configurations of whiskers to G, where to add …

Pseudo Cohen–Macaulay and pseudo generalized Cohen–Macaulay modules

NT Cuong - Journal of Algebra, 2003 - Elsevier
In this paper we study the structure of two classes of modules called pseudo Cohen–
Macaulay and pseudo generalized Cohen–Macaulay modules. We also give a …

A survey of Stanley–Reisner theory

CA Francisco, J Mermin, J Schweig - Connections between algebra …, 2014 - Springer
A Survey of Stanley–Reisner Theory | SpringerLink Skip to main content Advertisement
SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …

On birational Macaulayfications and Cohen–Macaulay canonical modules

P Schenzel - Journal of Algebra, 2004 - Elsevier
The aim of the paper is twofold. At first there is a characterization of those local domains
admitting a birational Macaulayfication. It turns out that a local domain A, quotient of a …

On sequentially Cohen-Macaulay modules

NT Cuong, DT Cuong - Kodai Mathematical Journal, 2007 - jstage.jst.go.jp
In this paper we introduce the notion of good systems of parameters with respect to certain
increasing filtration of submodules of a Noetherian module in order to prove several …

On the notion of sequentially Cohen–Macaulay modules

G Caviglia, A De Stefani, E Sbarra… - Research in the …, 2022 - Springer
In this survey paper, we first present the main properties of sequentially Cohen–Macaulay
modules. Some basic examples are provided to help the reader with quickly getting …

[PDF][PDF] On the Ext-modules of ideals of Borel type

J Herzog, D Popescu, M Vladoiu - Contemporary Mathematics, 2003 - researchgate.net
ON THE EXT-MODULES OF IDEALS OF BOREL TYPE Introduction In this paper we study the
regularity of Borel type ideals. Let S = K[x Page 1 ON THE EXT-MODULES OF IDEALS OF …