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Categorical compactness for rings
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper we study categorical compactness with respect to a class of objects F being motiveated 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.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 59 , Issue 3 , December 1995 , pp. 313 - 329
- Copyright
- Copyright © Australian Mathematical Society 1995
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