A. I. Generalov, I. M. Zilberbord, “Completion of modules over right noetherian serial rings”, Zap. Nauchn. Sem. POMI, 2001, Volume 281,Pages <nobr>170

This article is cited in 1 paper

Completion of modules over right noetherian serial rings

A. I. Generalov^a, I. M. Zilberbord^b

^a St. Petersburg State University, Department of Mathematics and Mechanics
^b Saint-Petersburg State University

Abstract: We define a linear topology on arbitrary right module over right noetherian serial ring $R$ that allows to describe reduced pure-injective $R$-modules as modules which are complete in this topology. Using the operation of completion we describe pure-injective envelope of any right $R$-module.

UDC: 512.5

Received: 07.04.2001