In this paper we compute the global dimension of Noetherian rings and rings with Gabriel and Krull dimension by taking a subclass of cyclic modules determined by the Gabriel filtration in the lattice of hereditary torsion theories
Distinctive characteristics of Iwanaga--Gorenstein rings are typically understood through their intr...
AbstractA question of Avramov and Foxby concerning injective dimension of complexes is settled in th...
In the first chapter we give an outline of classical KRULL rings as in SAMUEL (1964), BOURBAKI (1965...
In this paper we compute the global dimension of Noetherian rings and rings with Gabriel and Krull d...
AbstractLet τ be an hereditary torsion theory. For a ring with τ-Gabriel dimension, we find necessar...
Let R be a legt noetherian ring with left Krull demension α. For a let R-module M which has Krull di...
ABSTRACT. This paper considers a noncategorical approach to Gabriel dimension and uses it to conside...
AbstractA series of results by Asensio and Torrecillas (1992, Comm. Algebra20, 847–866), Gordon and ...
AbstractLetAbe the Artin radical of a Noetherian ringRof global dimension two. We show thatA=ReRwher...
AbstractGiven an Hereditary Noetherian ring, its finitely generated torsion modules are subject to a...
AbstractThe definition of an h-local integral domain is generalized to commutative rings. This new d...
AbstractWe find a bound for the Goldie dimension of hereditary modules in terms of the cardinality o...
A definition of torsion theory T on the category R-mod of left R-modules is given, using an equivale...
The paper is concerned with the study of the decisive dimension defined on the category of left modu...
The aim of this paper is to stablish the close connection between prime ideals and torsion theories ...
Distinctive characteristics of Iwanaga--Gorenstein rings are typically understood through their intr...
AbstractA question of Avramov and Foxby concerning injective dimension of complexes is settled in th...
In the first chapter we give an outline of classical KRULL rings as in SAMUEL (1964), BOURBAKI (1965...
In this paper we compute the global dimension of Noetherian rings and rings with Gabriel and Krull d...
AbstractLet τ be an hereditary torsion theory. For a ring with τ-Gabriel dimension, we find necessar...
Let R be a legt noetherian ring with left Krull demension α. For a let R-module M which has Krull di...
ABSTRACT. This paper considers a noncategorical approach to Gabriel dimension and uses it to conside...
AbstractA series of results by Asensio and Torrecillas (1992, Comm. Algebra20, 847–866), Gordon and ...
AbstractLetAbe the Artin radical of a Noetherian ringRof global dimension two. We show thatA=ReRwher...
AbstractGiven an Hereditary Noetherian ring, its finitely generated torsion modules are subject to a...
AbstractThe definition of an h-local integral domain is generalized to commutative rings. This new d...
AbstractWe find a bound for the Goldie dimension of hereditary modules in terms of the cardinality o...
A definition of torsion theory T on the category R-mod of left R-modules is given, using an equivale...
The paper is concerned with the study of the decisive dimension defined on the category of left modu...
The aim of this paper is to stablish the close connection between prime ideals and torsion theories ...
Distinctive characteristics of Iwanaga--Gorenstein rings are typically understood through their intr...
AbstractA question of Avramov and Foxby concerning injective dimension of complexes is settled in th...
In the first chapter we give an outline of classical KRULL rings as in SAMUEL (1964), BOURBAKI (1965...
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