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：
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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.
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页码：696 / 711
页数：15
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