On the ring of the variety of algebras over a ring
On the semiprimitivity of inverse semigroup algebras and on theorems by Domanov and Munn.
On the singular ideals of inverse semigroup algebras.
On the Structure of Certain PP-Rings.
On the structure of finite rings
On the structure theory of the Iwasawa algebra of a p-adic Lie group
This paper is motivated by the question whether there is a nice structure theory of finitely generated modules over the Iwasawa algebra, i.e. the completed group algebra, of a -adic analytic group . For without any -torsion element we prove that is an Auslander regular ring. This result enables us to give a good definition of the notion of a pseudo-null -module. This is classical when for some integer , but was previously unknown in the non-commutative case. Then the category of -modules...
On the Summands of Near-Rings with ATM.
On the symmetry classes of the first covariant derivatives of tensor fields.
On the trivial extensions of tubular algebras
The aim of this note is to give an affirmative answer to a problem raised in [9] by J. Nehring and A. Skowroński, concerning the number of nonstable ℙ₁(K)-families of quasi-tubes in the Auslander-Reiten quivers of the trivial extensions of tubular algebras over algebraically closed fields K.
On topologies over rings.
On torsion Gorenstein injective modules
In this paper, we define Gorenstein injective rings, Gorenstein injective modules and their envelopes. The main topic of this paper is to show that if is a Gorenstein integral domain and is a left -module, then the torsion submodule of Gorenstein injective envelope of is also Gorenstein injective. We can also show that if is a torsion -module of a Gorenstein injective integral domain , then the Gorenstein injective envelope of is torsion.
On torsionfree classes which are not precover classes
In the class of all exact torsion theories the torsionfree classes are cover (precover) classes if and only if the classes of torsionfree relatively injective modules or relatively exact modules are cover (precover) classes, and this happens exactly if and only if the torsion theory is of finite type. Using the transfinite induction in the second half of the paper a new construction of a torsionfree relatively injective cover of an arbitrary module with respect to Goldie’s torsion theory of finite...
On Two-Sided Right Ideals in Chain Domains.
On unit-regular ideals.
On -rings and unit-regular rings
On von Neumann regular rings - II.
On von Neumann regular rings. VII.
On Von Neumann regular rings, X.
On waists of right distributive rings.
On weakly projective and weakly injective modules
The purpose of this paper is to further the study of weakly injective and weakly projective modules as a generalization of injective and projective modules. For a locally q.f.d. module , there exists a module such that is weakly injective in , for any . Similarly, if is projective and right perfect in , then there exists a module such that is weakly projective in , for any . Consequently, over a right perfect ring every module is a direct summand of a weakly projective module. For...