On the compactness of minimal spectrum
On the Connes operator in Hochschild homology.
On the construction and the realization of wild monoids
We develop elementary methods of computing the monoid for a directly-finite regular ring . We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.
On the Corestriction of Central Simple Algebras.
On the de Rham–Witt complex in mixed characteristic
On the decomposition map of Grothendieck groups.
On the deformation theory of finite dimensional algebras.
On the deformation theory of structure constants for associative algebras.
On the degree of nilpotency of the radical of relatively free algebras.
On the density of fiber sum factors.
On the derived category of a finite-dimensional algebra.
On the derived length of units in group algebra
Let be a finite group , a field of characteristic and let be the group of units in . We show that if the derived length of does not exceed , then must be abelian.
On the double Poincaré series of the enveloping algebras of certain graded Lie algebras.
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 Embedding of topological domains into quotient fields.
On the endomorphism ring of a semi-injective module.
On the existence of almost split sequences in subcategories
On the existence of projective and quasi-projective covers
On the existence of super-decomposable pure-injective modules over strongly simply connected algebras of non-polynomial growth
Assume that k is a field of characteristic different from 2. We show that if Γ is a strongly simply connected k-algebra of non-polynomial growth, then there exists a special family of pointed Γ-modules, called an independent pair of dense chains of pointed modules. Then it follows by a result of Ziegler that Γ admits a super-decomposable pure-injective module if k is a countable field.
On the family relation for artinian rings