Dimensions globales des extensions de Ore et des algèbres de Weyl
Ding projective and Ding injective modules over trivial ring extensions
Let be a trivial extension of a ring by an --bimodule such that , , and have finite flat dimensions. We prove that is a Ding projective left -module if and only if the sequence is exact and is a Ding projective left -module. Analogously, we explicitly describe Ding injective -modules. As applications, we characterize Ding projective and Ding injective modules over Morita context rings with zero bimodule homomorphisms.
Directing components for quasitilted algebras
We show here that a directing component of the Auslander-Reiten quiver of a quasitilted algebra is either postprojective or preinjective or a connecting component.
Distinguishing derived equivalence classes using the second Hochschild cohomology group
We study the second Hochschild cohomology group of the preprojective algebra of type D₄ over an algebraically closed field K of characteristic 2. We also calculate the second Hochschild cohomology group of a non-standard algebra which arises as a socle deformation of this preprojective algebra and so show that the two algebras are not derived equivalent. This answers a question raised by Holm and Skowroński.
Divided powers and Hochschild homology of complete intersections. (With an Appendix by Reinhold Hübl: The cyclic homology of hypersurfaces with isolated singularities).
Dominant Dimension of Double Centralizers.
Double Centralizers and Dominant Dimensions.
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 over Auslander-Gorenstein rings.
Dually slender modules and steady rings.
Dually steady rings
Duo, Bézout and distributive rings of skew power series.
Dyhendral Hyperhomology Of A Chain Algebra With Involution
-rings and differential polynomials over universal fields
E-free objects in E-variétés of inverse rings.
Elements in exchange rings with related comparability.
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.
Endomorphism representations of Zorn rings and subclasses of rings with enough idempotents.
Endomorphism rings of maximal rigid objects in cluster tubes
We describe the endomorphism rings of maximal rigid objects in the cluster categories of tubes. Moreover, we show that they are gentle and have Gorenstein dimension 1. We analyse their representation theory and prove that they are of finite type. Finally, we study the relationship between the module category and the cluster tube via the Hom-functor.
Epimorphisms of regular rings