• Kyungpook Mathematical Journal
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• v.28 no.1
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• pp.51-62
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• 1988

In this work we study properties of five identities of Bol-Moufang type (1). We establish a necessary and sufficient condition for a loop to be an RC-loop. A corollary to this is the condition for a Bol loop to be an RC-loop. Some proerties of a generalization of RC-loops are discussed. We also state the relationship between the supernucleus M(G) of a loop G and the nucleii of loops which do not have the inverse property. Finally, we give two tables of non-associative RC-loops of order 16, which are not Bol loops.