反矩形Abel Grassmann带簇的谱
The spectrum of the variety of anti-rectangular Abel Grassmann bands
摘要:
证明了反矩形Abel Grassmann带的广群簇中的有限代数的所有阶的集合由4的所有幂构成。我们还证明了任意反同构于有限或可数反矩形Abel Grassmann带G的广群同构于G。证明了在同构内只有一个可数的反矩形Abel Grassmann带,并且它同构于自身的一个真子广群。
英文摘要:
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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