  We prove that the set of all orders of finite algebras in the groupoid
variety of anti-rectangular Abel Grassmann bands consists of all powers of
four. We also prove that any groupoid anti-isomorphic to a finite or countable
anti-rectangular Abel Grassmann band G is isomorphic to G. It is proved that
within isomorphism there is only one countable anti-rectangular Abel Grassmann
band and that it is isomophic to a proper subgroupoid of itself.
