0. Introduction. Let K be an algebraically closed field of characteristic zero and let F be a
nontrivial finite subgroup of SL2 (K). Deformations of the Kleinian singularity K2/F have been …

Divers auteurs, en particulier, Marubayashi [1, 21 ont essayl de genkaliser au cas non
commutatif la notion de domaine de Krull. Dans ce papier, un anneau de Krull non …

Let S denote the 3-dimensional Sklyanin algebra over an algebraically closed field k and
assume that S is not a finite module over its centre.(This algebra corresponds to a generic …

This survey covers material in Referativnyi Zhurnal Matematika and is a continuation of AV
Mikhalev's survey in Algebra. Topology. Geometry, Vol. 12 (Itogi Nauki i Tekhniki (1974)) …

Durmg the past 40 years, the classical and nonclassrcal theories of maxrmal orders (m
simple algebras) have expertenced parallel development with a reasonably complete …

Au § 1, on etudie et caracterise les ordres maximaux equivalents et plus generalement
contexteequivalents a un ordre maximal donne A d'un anneau artinien simple S. On introduit …

A survey is given of results on modules over rings, covering 1976–1980 and continuing the
series of surveys “Modules” in Itogi Nauki.

Let R be a ring with l (= t= 0), T an automorphism of Ry and D a τ-derivation of R (ie D (ab)=
D (a) τ (b)+ aD (b) for all a, b^ R). Then a skew polynomial ring A= R [t; T, D]= RφtR® t2Rφ …

A major current goal of noncommutative geometry is the classification of noncommutative
projective surfaces. The generic case is to understand algebras birational to the Sklyanin …

Let R be an order in a semisimple ring Q, and let M be a finite dimensional torsionless right
Λ-module. Zelmanowitz [15] has shown that k= End MR is also an order in a semisimple ring …