No abstract

We prolong Kunen's research about existence of units (left, right, twosided) in quasigroups with classical Bol-Moufang type identity. These Bol-Moufang type identities are listed in Fenvesh's article [9].

Any Neumann quasigroup pQ, ¨q (quasigroup with Neumann identity x ¨pyz ÿxq " z is called Neumann quasigroup) can be presented in the form x ¨y " x ´y, where pQ, `q is an abelian group. Automorphism group of Neumann quasigroup coincides with the group AutpQ, `q. Any Schweizer quasigroup (quasigroup with Schweizer identity xy ¨xz " zy is called Schweizer quasigroup) is a Neumann quasigroup and vice versa. Any Neumann quasigroup is a GA-quasigroup.