Gelfand-Kirillov dimension in some crossed products.
Global dimension in Noetherian rings and rings with Gabriel and Krull dimension.
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.
Global Dimension of Differential Operator Rings. IV - Simple Modules.
Global dimensions of subidealizer rings.
Hereditary CS-Modules.
Idealtheorie für eine Klasse noetherscher Ringe.
Konstruktionen globaler Moduln und Anwendungen.
Linearly Compact Rings and Modules.
Local cohomology in classical rings.
The aim of this paper is to establish the close connection between prime ideals and torsion theories in a non necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in terms of prime ideals. Using the machinery introduced before, we prove a version of the Mayer-Vietoris Theorem for local cohomology and establish a relationship between the classical dimension and the vanishing of the groups of local cohomology...
Localization in Prime Noetherian p.i. Rings.
Minimal prime ideals of skew polynomial rings and near pseudo-valuation rings
Let be a ring. We recall that is called a near pseudo-valuation ring if every minimal prime ideal of is strongly prime. Let now be an automorphism of and a -derivation of . Then is said to be an almost -divided ring if every minimal prime ideal of is -divided. Let be a Noetherian ring which is also an algebra over ( is the field of rational numbers). Let be an automorphism of such that is a -ring and a -derivation of such that for all . Further, if for any...
Modules over the 4-dimensional Sklyanin algebra
Noncommutative graded domains with quadratic.
Non-holonomic modules over Weyl algebras and enveloping algebras.
On automorphisms of Weyl algebra
On Gorenstein Rings.
On -Noetherian rings
Let be a commutative ring and a given multiplicative set. Let be a strictly ordered monoid satisfying the condition that for every . Then it is shown, under some additional conditions, that the generalized power series ring is -Noetherian if and only if is -Noetherian and is finitely generated.
On the Axiomatizability of Certain Classes of Modules.
On the Joseph-small additivity principle for goldie ranks. A study on extensions of noetherian rings with applications to enveloping algebras
Onα-almost Artinian modules
In this article we introduce and study the concept of α-almost Artinian modules. We show that each α-almost Artinian module M is almost Artinian (i.e., every proper homomorphic image of M is Artinian), where α ∈ {0,1}. Using this concept we extend some of the basic results of almost Artinian modules to α-almost Artinian modules. Moreover we introduce and study the concept of α-Krull modules. We observe that if M is an α-Krull module then the Krull dimension of M is either α or α + 1.