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Title: Modules over hereditary rings

Let A be a hereditary Noetherian prime ring that is not right primitive. A complete description of {pi}-injective A-modules is obtained. Conditions under which the classical ring of quotients of A is a {pi}-projective A-module are determined. A criterion for a right hereditary right Noetherian prime ring to be serial is obtained.
Authors:
 [1]
  1. Moscow Power Engineering Institute, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
21202773
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 189; Journal Issue: 4; Other Information: DOI: 10.1070/SM1998v189n04ABEH000316; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; RINGS; SET THEORY