Modules over hereditary rings

Journal Article · Thu Apr 30 00:00:00 EDT 1998 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM1998V189N04ABEH000316; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21202773

Tuganbaev, A A ^[1]

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1. Moscow Power Engineering Institute, Moscow (Russian Federation)

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.

• OSTI ID: 21202773
• Journal Information: Sbornik. Mathematics, Vol. 189, Issue 4; Other Information: DOI: 10.1070/SM1998v189n04ABEH000316; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
RINGS
SET THEORY