Decomposition properties in modules categories
Degenerations for representations of quivers with relations
Degenerations for representations of tame quivers
Dichte Ringe*
Die absteigende Loewy-Länge von Endomorphismenringen.
Die Translationshülle und wesentliche Erweiterungen eines zyklischen Ringes.
Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two
Two-dimensional integrable differential calculi for classes of Ore extensions of the polynomial ring and the Laurent polynomial ring in one variable are constructed. Thus it is concluded that all affine pointed Hopf domains of Gelfand-Kirillov dimension two which are not polynomial identity rings are differentially smooth.
Differentially trivial left Noetherian rings
We characterize left Noetherian rings which have only trivial derivations.
Differentially trivial Noetherian semiperfect rings.
Dimension homologique de modules simples
Dimension in algebraic frames, II: Applications to frames of ideals in
This paper continues the investigation into Krull-style dimensions in algebraic frames. Let be an algebraic frame. is the supremum of the lengths of sequences of (proper) prime elements of . Recently, Th. Coquand, H. Lombardi and M.-F. Roy have formulated a characterization which describes the dimension of in terms of the dimensions of certain boundary quotients of . This paper gives a purely frame-theoretic proof of this result, at once generalizing it to frames which are not necessarily...
Dimensions globales des extensions de Ore et des algèbres de Weyl
Direct products of linearly compact primary rings
Division dans l'anneau des séries formelles à croissance contrôlée. Applications
We consider subrings A of the ring of formal power series. They are defined by growth conditions on coefficients such as, for instance, Gevrey conditions. We prove a Weierstrass-Hironaka division theorem for such subrings. Moreover, given an ideal ℐ of A and a series f in A we prove the existence in A of a unique remainder r modulo ℐ. As a consequence, we get a new proof of the noetherianity of A.
Domains with linear growth.
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.
Dually slender modules and steady rings.
Dubrovnic, Valuation Rings and Henselization.
Duo, Bézout and distributive rings of skew power series.