Upper-modular and related elements of the lattice of commutative semigroup varieties

被引：0

作者：

B. M. Vernikov

机构：

[1] Ural Federal University,Institute of Mathematics and Computer Science

来源：

Semigroup Forum | 2017年 / 94卷

关键词：

Semigroup; Variety; Lattice of varieties; Upper-modular element; Codistributive element; Costandard element;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We completely determine upper-modular, codistributive and costandard elements in the lattice of all commutative semigroup varieties. In particular, we prove that the properties of being upper-modular and codistributive elements in the mentioned lattice are equivalent. Moreover, in the nil-case the properties of being elements of all three types turn out to be equivalent.

引用

页码：696 / 711

页数：15

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