Sobre anillos de polinomios que son anillos de Bézout.
Lifting units in self-injective rings and an index theory for Rickart C*-algebras.
In this paper we study the following question: If R is a right self-injective ring and I is an ideal of R, when can the units of R/I be lifted to units of R?
Local coordinates for -character varieties of finite-volume hyperbolic 3-manifolds
Given a finite-volume hyperbolic 3-manifold, we compose a lift of the holonomy in with the -dimensional irreducible representation of in . In this paper we give local coordinates of the -character variety around the character of this representation. As a corollary, this representation is isolated among all representations that are unipotent at the cusps.
On the unit-1-stable rank of rings of analytic functions.
In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.
Page 1