Vol. 51, No. 2, 1974

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TTF classes and quasi-generators

Robert Wilmer Miller

Vol. 51 (1974), No. 2, 499–507
Abstract

Let (𝒯 ,) be a hereditary torsion theory for A, the category of left A-modules. In this paper the property that the torsionfree class be closed under homomorphic images is investigated. Particular attention is given to the case where the torsion class 𝒯 is torsion-torsionfree (TTF). Applications to projective quasi-generators are given.

Mathematical Subject Classification
Primary: 16A50
Milestones
Received: 14 February 1973
Published: 1 April 1974
Authors
Robert Wilmer Miller