Subvarieties of the Varieties Generated by Aperiodic Commutative Semigroups

DOI：10.3770/j.issn:1000-341X.2010.01.011

 作者 单位 张文婷 兰州大学数学与统计学院, 甘肃 兰州 730000

在这篇文章中,我们刻画逆周期的交换半群生成的簇${\bf A}_k~(k\in N)$的所有子簇.基于这种刻画,我们给出${\bf A}_k$的子簇格的结构.

In this paper, all subvarieties of the varieties ${\bf A}_k$~($k\in N$) generated by aperiodic commutative semigroups are characterized. Based on this characterization, the structure of lattice of subvarieties of ${\bf A}_k$ is investigated.