Explanipedia

Factor-critical graphs and dstab, astab for an edge ideal Open

Marcel Moralès, Nguyễn Thị Phương Dung · 2024

Let $G$ be a simple, connected non bipartite graph and let $I_G$ be the edge idealof $G$. In our previous work we showed that L. Lovász's theorem on ear decompositions offactor-critical graphs and the canonical decomposition of a graph giv…

Frontmatter Open

G. Charlot, Lisa Rougetet, Laurence Viennot, Nicolas Décamp, Nathalie Chevalarias , et al. · 2023

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SYMMETRIC AND ALMOST SYMMETRIC SEMIGROUPS GENERATED BY AN ALMOST GENERALIZED ARITHMETIC SEQUENCE, FROBENIUS NUMBER Open

Marcel Moralès · 2023

Let $a, d, k,h, c$ be positive integers. Recall that a {\it numerical almost generalized arithmetic sequence-semigroup } (numerical AAG-semigroup for short) is a semigroup minimally generated by relatively prime integers $a, ha+d, ha+2d, \…

Irreducible decomposition of powers of edge ideals Open

Marcel Moralès, Nguyễn Thị Phương Dung · 2020

Noether resolutions in dimension 2 Open

Isabel Bermejo, Eva García-Llorente, Ignacio García-Marco, Marcel Moralès · 2017

A Study of the Length Function of Generalized Fractions of Modules Open

Marcel Moralès, Phạm Hùng Quý · 2016

Let be a Noetherian local ring and let M be a finitely generated R -module of dimension d . Let be a system of parameters of M and let be a d -tuple of positive integers. In this paper we study the length of generalized fractions M (1/( x …

Regularity and Free Resolution of Ideals Which Are Minimal To $d$-Linearity Open

Marcel Moralès, Marcel Moralès, Rashid Zaare-Nahandi · 2016

For given positive integers $n\geq d$, a $d$-uniform clutter on a vertex set $[n]=\{1,\dots,n\}$ is a collection of distinct $d$-subsets of $[n]$. Let $\mathscr{C}$ be a $d$-uniform clutter on $[n]$. We may naturally associate an ideal $I(…

Veronese transform and Castelnuovo--Mumford regularity of modules Open

Marcel Moralès, Nguyễn Thị Phương Dung · 2016

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Gröbner basis. A new algorithm for computing the Frobenius number Open

Marcel Moralès, Dung Nguyen Thi · 2015

Let consider $n$ natural numbers $a_1 ,\ldots , a_{n} $. Set $A=K[t^{a_1}, \ldots , t^{a_n}]=K[{x_1}, \ldots , {x_n}]/I$. Our aim is to describe explicitly: * The \gbb of $I$ for the reverse lexicographic order to $x_n,\ldots ,x_…

Gr{ö}bner basis. a "pseudo-polynomial" algorithm for computing the Frobenius number Open

Marcel Moralès, Dung Nguyen Thi · 2015

Let consider $n$ natural numbers $a\_1 ,\ldots , a\_{n} $. Let $S$ be the numerical semigroup generated by $a\_1 ,\ldots , a\_{n} $. Set $A=K[t^{a\_1}, \ldots , t^{a\_n}]=K[{x\_1}, \ldots , {x\_n}]/I$. The aim of this paper is: \begin{enum…

Castelnuovo–Mumford regularity and Segre–Veronese transform Open

Marcel Moralès, Nguyễn Thị Phương Dung · 2015

In this paper we give a nice formula for the Castelnuovo–Mumford regularity of the Segre product of modules, under some suitable hypotheses. This extends recent results of David A. Cox, and Evgeny Materov (2009).

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