All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 64 Next

Displaying 1261 – 1280 of 2826

Showing per page

Melkersson condition on Serre subcategories

Reza Sazeedeh, Rasul Rasuli (2016)

Colloquium Mathematicae

Let R be a commutative noetherian ring, let be an ideal of R, and let be a subcategory of the category of R-modules. The condition C , defined for R-modules, was introduced by Aghapournahr and Melkersson (2008) in order to study when the local cohomology modules relative to belong to . In this paper, we define and study the class consisting of all modules satisfying C . If and are ideals of R, we get a necessary and sufficient condition for to satisfy C and C simultaneously. We also find some sufficient...

Minimal resolutions of lattice ideals and integer linear programming.

Emilio Briales-Morales, Antonio Campillo-López, Pilar Pisón-Casares, Alberto Vigneron-Tenorio (2003)

Revista Matemática Iberoamericana

A combinatorial description of the minimal free resolution of a lattice ideal allows us to the connection of Integer Linear Programming and Al1gebra. The non null reduced homology spaces of some simplicial complexes are the key. The extremal rays of the associated cone reduce the number of variables.

Models of group schemes of roots of unity

A. Mézard, M. Romagny, D. Tossici (2013)

Annales de l’institut Fourier

Let 𝒪 K be a discrete valuation ring of mixed characteristics ( 0 , p ) , with residue field k . Using work of Sekiguchi and Suwa, we construct some finite flat 𝒪 K -models of the group scheme μ p n , K of p n -th roots of unity, which we call Kummer group schemes. We carefully set out the general framework and algebraic properties of this construction. When k is perfect and 𝒪 K is a complete totally ramified extension of the ring of Witt vectors W ( k ) , we provide a parallel study of the Breuil-Kisin modules of finite flat models...

Modules différentiels sur les couronnes

Gilles Christol, Bernard Dwork (1994)

Annales de l'institut Fourier

Dans cet article, nous étudions les modules libres de type fini sur l’anneau ℋ [ d / d x ] où ℋ est l’anneau des éléments analytiques dans une couronne r 1 < | x | < r 2 de ℂ p . D’une part, nous définissons, pour chaque nombre r de [ r 1 , r 2 ] , un rayon de convergence “générique" et nous montrons que celui-ci dépend continûment de r . D’autre part, nous étudions l’existence et l’unicité d’un “antécédent de Frobenius".

Currently displaying 1261 – 1280 of 2826