Varieties of Involution J-Trivial Monoids with Continuum Many Subvarieties

被引：0
|
作者：
Gao, Meng [1 ]
Zhang, Wenting [1 ]
Luo, Yanfeng [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2024年 / 31卷 / 03期
基金：
中国国家自然科学基金;
关键词：
monoid; involution monoid; variety; subvariety; lattice of varieties; SEMIGROUPS;
D O I：
10.1142/S100538672400035X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a sufficient condition under which an involution monoid generates a variety with continuum many subvarieties. According to this result, several involution J-trivial monoids are shown to generate varieties with continuum many subvarieties. These examples include Rees quotients of free involution monoids, Lee monoids with involution, and Straubing monoids with involution.
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页码：467 / 480
页数：14
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