J Austral Math Soc Ser A 59 pp313--329, 1995.

Categorical Compactness for Rings

Temple H. Fay and Stephan V. Joubert

Abstract

In this paper we study categorical compactness with respect to a class of objects F being motivated by examples arising from modules, abelian groups, and various classes of non-abelian groups. This theory is then applied to the category of not necessarily associative rings. In particular, we study the example arising from the class of all torsion-free rings. This work extends some recent results of B. J. Gardner for associative rings and radial classes.

1991 AMS Subject Classification: 16A21, 16A63, 18A20

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Authors

Temple H. Fay

The University of Southern Mississippi, Hattiesburg, MS, USA.

Stephan V. Joubert

The Technikon Pretoria, Pretoria West 0001, South Africa.