The flat dimensions of injective modules.
The general structure of inverse polynomial modules
In this paper we compute injective, projective and flat dimensions of inverse polynomial modules as -modules. We also generalize Hom and Ext functors of inverse polynomial modules to any submonoid but we show Tor functor of inverse polynomial modules can be generalized only for a symmetric submonoid.
The global basie dimension of artin rings [Book]
The group of automorphisms of the coordinate ring of quantum symplectic space.
The Heart of Prime Ideals in Ore Extensions.
The Hermitian Morita theorems.
The hulls of semiprime rings
The importance of rational extensions
The rational completion of an -module can be characterized as a -injective hull of with respect to a (hereditary) torsion functor depending on . Properties of a torsion functor depending on an -module are studied.
The intersection of distinct Galois subrings is not necessarily Galois
The irreducible components of the nilpotent associative algebras.
The aim of this work is to describe the irreducible components of the nilpotent complex associative algebras varieties of dimension 2 to 5 and to give a lower bound of the number of these components in any dimension.
The Kiew Algorithm for bocses applies directly to representation-finite algebras.
The Krull radical, k-primitive rings, and critical rings.
The Local Duality for Homomorphisms and an Application to Pure Semisimple PI-Rings
The nilpotency of left noetherian radical rings
The N*-Metric Completion of Regular Rings.
The periodicity conjecture for blocks of group algebras
We describe the representation-infinite blocks B of the group algebras KG of finite groups G over algebraically closed fields K for which all simple modules are periodic with respect to the action of the syzygy operators. In particular, we prove that all such blocks B are periodic algebras of period 4. This confirms the periodicity conjecture for blocks of group algebras.
The Prime Ideal Theorem in Non-Commutative Arithmetic.
The Prime Spectrum of the Enveloping Algebra of a Reductive Lie Algebra.
The primitivity of semigroup algebras of free products.
The pure-projective ideal of a module category