Abstract: In this work we study properties of five identities of Bol-Moufang type (1), which had received little or no attention. We establish a necessary and sufficient condition for a right alternative loop to be an RC-loop. A corollary to this is the condition for a Bol loop to be an RC-loop. Some properties of a generalization of RC-loops are discussed. We also state the connection of the supernuclens M(G) of a loop G with various nucleii of loops which do not have the inverse property. Finally, we give some constructions of non-associative RC-loops of order 4n, where n is a positive even integer, which are not Bol loops.