On subdirect decomposition and varieties of some rings with involution.
On the Characterization of Primitive Ideals in Enveloping Algebras.
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 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 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 representation type of one point extensions of tame concealed algebras.
On the representation type of triangular matrix algebras over special algebras
On the Structure of Certain PP-Rings.
On the structure of finite rings
On the structure of indecomposable modules over Artin algebras
On the Vertices of Modules in the Auslander-Reiten Quiver of p-Groups.
On weakly positive unit forms.
On zero subrings and periodic subrings.
Orders, in non-Eichler (R)-algebras over global function fields, having the cancellation property.
Orders of Global Dimension Two.