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On the Weak Lefschetz Property for Artinian Gorenstein algebras of codimension three [PDF]
We study the problem of whether an arbitrary codimension three graded artinian Gorenstein algebra has the Weak Lefschetz Property. We reduce this problem to checking whether it holds for all compressed Gorenstein algebras of odd socle degree.
Boij, Mats +4 more
core +1 more source
Poincaré series of compressed local Artinian rings with odd top socle degree [PDF]
We define a notion of compressed local Artinian ring that does not require the ring to contain a field. Let $(R,\mathfrak m)$ be a compressed local Artinian ring with odd top socle degree $s$, at least five, and $\operatorname{socle}(R)\cap \mathfrak m ...
A. Kustin, L. Şega, Adela Vraciu
semanticscholar +1 more source
Ce article traite de l’émergence d’un champ littéraire créole à la Réunion durant la décennie soixante-dix qui s‘est érigé sur le socle de nombreuses contestations contre la politique assimilationniste française, et qui s’est légitimé dans l’île par son
Jean Erian Samson
doaj +6 more sources
On rings of real valued clopen continuous functions
Among variant kinds of strong continuity in the literature, the clopen continuity or cl-supercontinuity (i.e., inverse image of every open set is a union of clopen sets) is considered in this paper.
Susan Afrooz +2 more
doaj +1 more source
On Noetherian rings with essential socle [PDF]
AbstractIt is shown that if R is a right Noetherian ring whose right socle is essential as a right ideal and is contained in the left socle, then R is right Artinian. This result may be viewed as a one-sided version of a result of Ginn and Moss on two-sided Noetherian rings with essential socle.
Chen, Jianlong +2 more
openaire +2 more sources
Agriculture and livestock are the main socio-economic activities of the population of the Zinder region (Niger). However, these activities have negative impacts on groundwater quality, which is the main source of water supply for this population. In this
Souley Moussa Rabilou +4 more
semanticscholar +1 more source
On Monomial Ideals and Their Socles [PDF]
For a finite subset $M\subset [x_1,\ldots,x_d]$ of monomials, we describe how to constructively obtain a monomial ideal $I\subseteq R = K[x_1,\ldots,x_d]$ such that the set of monomials in $\text{Soc}(I)\setminus I$ is precisely $M$, or such that $\overline{M}\subseteq R/I$ is a $K$-basis for the the socle of $R/I$.
Agnarsson, Geir, Epstein, Neil
openaire +2 more sources
Stanley's nonunimodal Gorenstein h-vector is optimal
We classify all possible $h$-vectors of graded artinian Gorenstein algebras in socle degree 4 and codimension $\leq 17$, and in socle degree 5 and codimension $\leq 25$. We obtain as a consequence that the least number of variables allowing the existence
Migliore, Juan, Zanello, Fabrizio
core +1 more source
Situee dans la partie Sud-Ouest du Niger, la zone d’etude appartient a la region de socle precambrien du Liptako. Dans cette zone, la faible couverture en eau est accentuee par le probleme de la qualite car certains forages enregistrent une teneur ...
Maman Sani Abdou Babaye +4 more
semanticscholar +1 more source
Obstacles d’accompagnement financier des PME en RD Congo [PDF]
L’importance ce texte est d’expliquer les difficultés que connaissent les petites et moyennes en R.D.C, en termes d’accompagnement financier pour la création et développement des petites et moyennes entreprises(PME) qui constituent le socle de la ...
Albert NDJADI VODU +3 more
doaj

