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arxiv: 1102.1637 · v1 · pith:WCRF4Y6Rnew · submitted 2011-02-08 · 🧮 math.RA

The spectrum of the variety of anti-rectangular Abel Grassmann bands

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keywords abelanti-rectangulargrassmannbandbandscountablefinitegroupoid
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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.

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