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Title: Modules over hereditary rings

Abstract

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

Citation Formats

Tuganbaev, A A. Modules over hereditary rings. United States: N. p., 1998. Web. doi:10.1070/SM1998V189N04ABEH000316; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Tuganbaev, A A. Modules over hereditary rings. United States. doi:10.1070/SM1998V189N04ABEH000316; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Tuganbaev, A A. 1998. "Modules over hereditary rings". United States. doi:10.1070/SM1998V189N04ABEH000316; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21202773,
title = {Modules over hereditary rings},
author = {Tuganbaev, A A},
abstractNote = {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.},
doi = {10.1070/SM1998V189N04ABEH000316; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
journal = {Sbornik. Mathematics},
number = 4,
volume = 189,
place = {United States},
year = 1998,
month = 4
}