The spectrum of the variety of anti-rectangular Abel Grassmann bands
Rings and Algebras
2011-02-09 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1102.1637,
title = {The spectrum of the variety of anti-rectangular Abel Grassmann bands},
author = {R. A. R. Monzo},
journal= {arXiv preprint arXiv:1102.1637},
year = {2011}
}