On the Axiomatizability of Certain Classes of Modules.
On the Characterization of Primitive Ideals in Enveloping Algebras.
On the classical Krull dimension of rings
On the compactness of minimal spectrum
On the Corestriction of Central Simple Algebras.
On the derived category of a finite-dimensional algebra.
On the Drazin index of regular elements
It is known that the existence of the group inverse a # of a ring element a is equivalent to the invertibility of a 2 a − + 1 − aa −, independently of the choice of the von Neumann inverse a − of a. In this paper, we relate the Drazin index of a to the Drazin index of a 2 a − + 1 − aa −. We give an alternative characterization when considering matrices over an algebraically closed field. We close with some questions and remarks.
On the family relation for artinian rings
On the Finistic dimension conjecture for Artinian Rings.
On the finiteness of the semigroup of conjugacy classes of left ideals for algebras with radical square zero
Let A be a finite-dimensional algebra over an algebraically closed field with radical square zero, and such that all simple A-modules have dimension at most two. We give a characterization of those A that have finitely many conjugacy classes of left ideals.
On the Gel'fand-Kirillov conjecture for induced ideals in the semisimple case
On the Idealizer of a Subring.
On the Joseph-small additivity principle for goldie ranks. A study on extensions of noetherian rings with applications to enveloping algebras
On the mapping in an associative ring.
On the maximal condition in formal power series rings
On the Mulitplicity of Zeros of Polynomials over Arbitrary Finite Dimensional K-Algebras.
On the problem of axiomatization of tame representation type
Associative algebras of fixed dimension over algebraically closed fields of fixed characteristic are considered. It is proved that the class of algebras of tame representation type is axiomatizable. Moreover, finite axiomatizability of this class is equivalent to the conjecture that the algebras of tame representation type form a Zariski-open subset in the variety of algebras.
On the Represantation Theory of Artinian Rings and Artins Problems on Division Ring Extensions
On the representation type of one point extensions of tame concealed algebras.
On the representation type of triangular matrix algebras over special algebras