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A new example of a limit variety of monoids
Semigroup Forum ( IF 0.7 ) Pub Date : 2019-12-16 , DOI: 10.1007/s00233-019-10078-1
S. V. Gusev

A variety of universal algebras is called limit if it is non-finitely based but all its proper subvarieties are finitely based. Until recently, only two explicit examples of limit varieties of monoids, constructed by Jackson, were known. Recently Zhang and Luo found the third example of such a variety. In our work, one more example of a limit variety of monoids is given.

中文翻译:

幺半群的极限变体的一个新例子

如果各种通用代数是非有限基的,但其所有适当的子变体都是有限基的,则称为极限。直到最近,由杰克逊构造的幺半群极限变体的两个明确例子才为人所知。最近,张和罗发现了第三个这样的品种。在我们的工作中,给出了一个有限变体的幺半群的另一个例子。
更新日期:2019-12-16
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