论文信息 - Associative Transitive Loops

Associative Transitive Loops

In this paper, we investigate the structure of loops in which the associativity relation between pairs of non-trivial elements (i.e., 〈x,y〉 is a group) is transitive. We also look at other properties that come out of the study of this class of loops.

T. Foguel

[1] T. Foguel. Simple Power Associative Loops with Exactly One Covering , 2004 .

[2] Yu-fen Wu. On locally finite power-commutative groups , 2000 .

[3] Yu-fen Wu. Groups In Which Commutativity Is A Transitive Relation , 1998 .

[4] L. Weisner. Groups in which the normaliser of every element except identity is abelian , 1925 .

[5] L. Fook. The devil and the angel of loops , 1976 .