CATEGORICAL COMPACTNESS FOR RINGS

Authors
FAY TH JOUBERT SV
Citation
Th. Fay et Sv. Joubert, CATEGORICAL COMPACTNESS FOR RINGS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 59, 1995, pp. 313-329
Citations number
18
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
59
Year of publication
1995
Part
3
Pages
313 - 329
Database
ISI
SICI code
0263-6115(1995)59:<313:CCFR>2.0.ZU;2-A
Abstract
In this paper we study categorical compactness with respect to a class of objects F being motivated by examples arising from modules, abelia n groups, and various classes of non-abelian groups. This theory is th en applied to the category of not necessarily associative rings. In pa rticular, we study the example arising from the class of all torsion-f ree rings. This work extends some recent results of B. J. Gardner for associative rings and radical classes.