Rang maximal pour Tpn.
Let be a complete multipartite graph on with and being its binomial edge ideal. It is proved that the Castelnuovo-Mumford regularity is for any positive integer .
The rational homology groups of packing complexes are important in algebraic geometry since they control the syzygies of line bundles on projective embeddings of products of projective spaces (Segre–Veronese varieties). These complexes are a common generalization of the multidimensional chessboard complexes and of the matching complexes of complete uniform hypergraphs, whose study has been a topic of interest in combinatorial topology. We prove that the multivariate version of representation stability,...
On considère l’espace de modules des fibrés stables de rang sur , de classes de Chern , étant un corps algébriquement clos de caractéristique quelconque. Si () ou (), on sait ([7], [9]) que a une composante irréductible dont le point générique a la cohomologie naturelle. Nous avons calculé ([16]) la résolution minimale de . Dans cet article, nous voulons déterminer celle de si où est le plus petit entier tel que . Par un procédé standard rappelé dans [16], on se ramène à des...
We define and study restricted projective, injective and flat dimensions over local homomorphisms. Some known results are generalized. As applications, we show that (almost) Cohen-Macaulay rings can be characterized by restricted homological dimensions over local homomorphisms.
This paper deals with the rings which satisfy condition. This notion has been introduced recently by R. Dastanpour and A. Ghorbani (2017) as a generalization of Artnian rings. It is of interest to investigate more deeply this class of rings. This study focuses on commutative case. In this vein, we present this work in which we examine the transfer of these rings to the trivial, amalgamation and polynomial ring extensions. We also investigate the relationship between this class of rings and the...