RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 2000 Volume 272, Pages 129–143 (Mi znsl1365)
This article is cited in 1 paper

Basic submodules of modules over right noetherian serial rings. I

A. I. Generalov, I. M. Zilberbord

Saint-Petersburg State University

Abstract: It is proved that any right module over right noetherian serial ring $R$ contains a basic submodule. The structure of submodules of an indecomposable pure-injective $R$-module is investigated.

UDC: 512.5

Received: 29.06.2000


 English version: Journal of Mathematical Sciences (New York), 2003, 116:1, 2953–2960

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024