The varieties of semilattice-ordered semigroups satisfying x3 ≈ x and xy ≈ yx

被引：2
|
作者：
Ren, Miaomiao [1 ]
Zhao, Xianzhong [1 ]
机构：
[1] Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China
来源：
PERIODICA MATHEMATICA HUNGARICA | 2016年 / 72卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Semilattice-ordered Burnside semigroup; Lattice; Subdirectly irreducible member; Variety; 0-Group; IDEMPOTENT SEMIRINGS; SUBVARIETIES;
D O I：
10.1007/s10998-016-0116-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study the varieties of semilattice-ordered Burnside semigroups satisfying x(3) approximate to x and xy approximate to yx. It is shown that the collection of all such varieties forms a distributive lattice of order 9. Also, all of them are finitely based and finitely generated. This gives a generalization and expansion of the results obtained by McKenzie and Romanowska (Contrib Gen Algebra Proc Klagenf Conf 1978 1:213-218, 1979).
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页码：158 / 170
页数：13
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