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ABSTRACT
In Citation[2], we showed that the minimally nonassociative RA loops (those which are not themselves associative but for which every proper subloop is associative) are precisely the RA loops which are indecomposable (that is, not nontrivial direct products) and which can be generated by three elements. Here, we investigate which RA loops have these two properties.
ACKNOWLEDGMENTS
Research for this paper was completed while the first author was a visitor in the Department of Mathematics and Statistics at Memorial University, whose faculty and staff he wishes to thank for their hospitality.
The research of the first author was supported by a study leave and a grant-in-aid of research from Temple University and that of the second author by the Natural Sciences and Engineering Research Council of Canada, Grant No. OGP0009087.