Dimension injective des produits croisés.
Direct decompositions and basic subgroups in commutative group rings
An attractive interplay between the direct decompositions and the explicit form of basic subgroups in group rings of abelian groups over a commutative unitary ring are established. In particular, as a consequence, we give a simpler confirmation of a more general version of our recent result in this aspect published in Czechoslovak Math. J. (2006).
Direct finiteness of group rings - a simple proof of the Kaplansky's conjecture for finite groups
Direct image of the de Rham system associated with a rational double point
Discrete minimal surface algebras.
Domains with linear growth.
Dreiecks-Darstellung von Endomorphismenringen injektiver Moduln.
Dual dimension of modules over normalizing extensions.
Let S = Σi=1n Rai be a finite normalizing extension of R and suppose that SM is a left S-module. Denote by crk(A) the dual Goldie dimension of the module A. We show that crk(RM) ≤ n · crk(SM) if either SM is artinian or the group homomorphism M → aiM given by x → aix is an isomorphism.
Duality in G-algebras.
Duality properties of injective modules
Dually slender modules and steady rings.
Dually steady rings
-rings and differential polynomials over universal fields
Einfache Algebren und projektive Darstellungen über Zahlkörpern.
Embedding torsionless modules in projectives.
In this paper we study a condition right FGTF on a ring R, namely when all finitely generated torsionless right R-modules embed in a free module. We show that for a von Neuman regular (VNR) ring R the condition is equivalent to every matrix ring Rn is a Baer ring; and this is right-left symmetric. Furthermore, for any Utumi VNR, this can be strengthened: R is FGTF iff R is self-injective.
Embeddings of Kronecker modules into the category of prinjective modules and the endomorphism ring problem
Endliche Hopfalgebren.
Endomorphism algebras of exceptional sequences over path algebras of type
Endomorphism algebras over large domains
The paper deals with realizations of R-algebras A as endomorphism algebras End G ≅ A of suitable R-modules G over a commutative ring R. We are mainly interested in the case of R having "many prime ideals", such as R = ℝ[x], the ring of real polynomials, or R a non-discrete valuation domain
Endomorphism rings of -comodule algebras.