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1 results

  • Categorical compactness for rings

  • Part of
  • Temple H. Fay, Stephan V. Joubert
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 59 / Issue 3 / December 1995
    Published online by Cambridge University Press:
    09 April 2009, pp. 313-329
    Print publication:
    December 1995
    • Article
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  • 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.