A single groupoid identity for Steiner loops |
| |
Authors: | N S Mendelsohn |
| |
Institution: | (1) University of Manitoba, Winnipeg, Manitoba, Canada |
| |
Abstract: | A loop which satisfies the identitiesx
2 =e, xe = ex = x, andx(yx) = (xy) x = y is called a generalized Steiner loop. In this paper it is shown that a generalized Steiner loop is a groupoid with a single lawx(((yy) z) x) = z. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|