On the finite basis problem for the variety generated by all n-element semigroups
On the finite basis problem for the variety generated by all n-element semigroups
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DOI：
10.1007/s00012-015-0326-3
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发表时间：
2015-04
影响因子：
0.6
通讯作者：
Jian Rong Li;Wen Ting Zhang;Y. Luo
中科院分区：
文献类型：
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作者：
Jian Rong Li;Wen Ting Zhang;Y. Luo
设n是正整数，是所有n阶半群生成的簇。沃尔科夫表明，每一个都是非有限基的。它是由罗和张有限地展示的。很容易证明，这些变化是基于有限的。然而，有限基问题已经有二十多年的历史了。在这篇文章中，我们通过证明变量是有限基的来解决这个问题。此外，我们还给出了一个显式的有限基。
Letnbe a positive integer andthe variety generated by all semigroups of ordern. It was shown by Volkov thatis non-finitely based for each. It was shown by Luo and Zhang thatis finitely based. It is easy to show that the varietiesare finitely based. However, the finite basis problem forhad been open for more than twenty years. In this paper, we solve this problem by showing that the varietyis finitely based. Moreover, we give an explicit finite basis for.