ON THE IDENTITIES OF BOL-MOUFANG TYPE
ON THE IDENTITIES OF BOL-MOUFANG TYPE出 版 物：《Acta Mathematica Scientia》 (数学物理学报)
年 卷 期：1987年第7卷第2期
页 面：149-157页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：BOL ON THE IDENTITIES OF BOL-MOUFANG TYPE
摘 要：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 supernucleus 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.
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