Vol. 64, No. 2, 1976

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Finitely generated projective modules and TTF classes

Robert Wilmer Miller

Vol. 64 (1976), No. 2, 505–515
Abstract

Let P be a finitely generated projective right A-module with trace ideal T and A-endomorphism ring B. Associated with P are the TTF classes, 𝒯F = {⋅AXP X = 0} and 𝒯H = {XAHom(P,X) = 0}. An investigation of these TTF classes yields characterizations of various conditions on P and T; e.g., (1) BP is projective (flat) and (2) AT is projective (flat). The concept of weak stability for a hereditary torsion class is introduced and characterizations are given.

Mathematical Subject Classification
Primary: 16A50, 16A50
Milestones
Received: 17 December 1975
Published: 1 June 1976
Authors
Robert Wilmer Miller