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On Varieties Generated by Minimal Complex Semigroups

机译:最小复半群产生的品种

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摘要

A semigroup is complex if it generates a variety the subvariety lattice of which contains an isomorphic copy of every finite lattice. It is known that a complex semigroup has at least four elements and that up to isomorphism and anti-isomorphism, there are four complex semigroups of order four. Subvarieties of the varieties generated by two of these four minimal complex semigroups have previously been described. To complete the study, we describe subvarieties of the varieties generated by the remaining two semigroups.
机译:一个半群是复杂的,如果它产生了一个变种,其子变种晶格包含每个有限晶格的同构副本。已知一个复杂的半群至少有四个元素,直到同构和反同构,有四个四阶的复杂半群。先前已经描述了由这四个最小复杂半群中的两个半群产生的品种的亚变种。为了完成研究,我们描述了由其余两个半群产生的品种的亚变种。

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