Journal Title/Source
Journal of Generalized Lie Theory and Applications
Publication Date
2010
Volume
4
Page Numbers
1-5
Document Type
Journal Article
Department
Mathematics and Computer Science
Abstract
Left Cheban loops are loops that satisfy the identity x(xy · z) = yx · xz. Right Cheban loops satisfy the mirror identity (z · yx)x = zx · xy. Loops that are both left and right Cheban are called Cheban loops. Cheban loops can also be characterized as those loops that satisfy the identity x(xy · z) = (y · zx)x. These loops were introduced in [5]. Here we initiate a study of their structural properties. Left Cheban loops are left conjugacy closed. Cheban loops are weak inverse property, power associative, conjugacy closed loops; they are centrally nilpotent of class at most two.
Recommended Citation
Phillips, J.D., "CHEBAN LOOPS" (2010). Journal Articles. 514.
https://commons.nmu.edu/facwork_journalarticles/514