We show that reasonably large classes C of vector spaces, modules over noncommutative
algebras and abelian groups are Baer-Kaplansky classes with additional properties. Indeed …

One of the starting points of the historical developments of non-commutative rings and their
modules is algebras over a field K. A K-algebra, its ideals and its modules are K-vector …

The Baer-Kaplansky Theorem [3, Theorem 108.1] says that two torsion abelian groups with
isomorphic endomorphism rings are actually isomorphic. In the sequel, following [4], we say …

For every von Neumann algebra M and 0< p< 1 we construct a nontrivial exact sequence of
M-bimodules and homomorphisms 0! Lp! Zp. M/! Lp! 0, where Lp is the Haagerup Lp space …

In this survey paper we point out some similarities and some differences between the theory
of invariants of commuting and noncommuting variables. We begin by making some …

identity and by a module a finite dimensional left A-module. The class of algebras may be
divided into two disjoint subclasses. One class consists of tame algebras for which the …

Let $ X $ be an irreducible algebraic variety defined over a field $ k $, let $\mathcal {R} $ be
a sheaf of (noncommutative) noetherian $ k $-algebras on $ X $ containing the sheaf of …

This paper is dedicated to proving a single result: that isometric isomorphisms of Cartan
bimodule algebras can be extended to∗-isomorphisms of the generated von Neumann …

Non commutative deformations of modules Page 1 Non commutative deformations of modules
by 0. A. Laudal Page 2 Contents Introduction 1 Preliminaries on deformations of modules 1.1 …

Let $ J $ be a graded ideal in a not necessarily commutative graded $ k $-algebra $ A=
A_0\oplus A_1\oplus\cdots $ in which $\dim _k A_i<\infty $ for all $ i $. We show that the map …