Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Jorge E. Viola Prioli"'
Publikováno v:
Communications in Algebra. 32:3981-3993
In this article we explore the semigroup of kernel functors associated to a generalized discrete valuation ring. We will show that, among other interesting features, this semigroup is linearly ordered under divisibility, and we will present a factori
Publikováno v:
Communications in Algebra. 28:4971-4980
Given a hereditary torsion functor , the class of μ-complemented modules was recently introduced by P.F. Smith and the authors as an analogue of extending modules. This current article explores this class by viewing it as a subclass of EX, the small
Basándose en su amplia experiencia en el dictado de cursos avanzados de Álgebra para la carrera de Matemáticas, los autores han escogido temas que se derivan de resultados clásicos fundamentales debidos a Abel y Galois, pero incluyen, para benefi
Publikováno v:
Communications in Algebra. 25:1307-1326
This article introduces the concept of μ-complemented modules as follows: given a hereditary torsion theory in Mod-R with associated torsion functor μ we say that a module M is μ-complemented when every sub module is μ- dense in a summand of M. W
Publikováno v:
Communications in Algebra. 25:1327-1339
In a previous paper we introduced μ-complemented modules for any given torsion functor μ of a hereditary torsion theory in Mod-R and presented their basic properties. Our current research enables us to characterize these modules when μ is a proper
Publikováno v:
Communications in Algebra. 23:4173-4188
The purpose of this research is to generalize to closed subcategories of σ[M] an investigation concerning the lattice of kernel functors in R-Mod initiated by J. Golan, A. Viola-Prioli and J. Viola-Prioli in a recent article. In fact, in that work t
Publikováno v:
Communications in Algebra. 22:4637-4651
Publikováno v:
Communications in Algebra. 22:3613-3627
In an earlier paper the first named authors investigated rings whose kernel functors are linearly ordered. The main tool for describing prop-erties of such rings was the filter of ideals associated to a kernel functor. In the present paper more gener
Publikováno v:
Glasgow Mathematical Journal. 33:95-97
Much of the research done by different authors on the lattice of kernel functors (equivalently, linear topologies) has been summarized by Golan in [2]. More recently, the rings whose lattices of kernel functors are linearly ordered were introduced in
Autor:
Jorge E. Viola-Prioli
Publikováno v:
Canadian Journal of Mathematics. 27:545-554
Introduction. All rings occurring are associative and possess a unity, which is preserved under subrings and ring homomorphisms. All modules are unitary right modules. We denote the category of rights-modules.In recent years several authors have stud