Title

Categorical Compactness for Rings

Document Type

Article

Publication Date

12-1-1995

Department

Mathematics

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 radical classes.

Publication Title

Journal of the Australian Mathematical Society Series A: Pure Mathematics and Statistics

Volume

59

First Page

313

Last Page

329