Endomorphisms of the lattice of epigroup varieties

被引：6
|
作者：
Gusev, S. V. [1 ]
Vernikov, B. M. [1 ]
机构：
[1] Ural Fed Univ, Inst Math & Comp Sci, Lenina 51, Ekaterinburg 620000, Russia
来源：
SEMIGROUP FORUM | 2016年 / 93卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
Epigroup; Variety; Lattice of varieties; Variety of epigroups of finite degree;
D O I：
10.1007/s00233-016-9825-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider epigroups as algebras with two operations (multiplication and pseudoinversion) and construct a countably infinite family of injective endomorphisms of the lattice of all epigroup varieties. An epigroup variety is said to be a variety of finite degree if all its nilsemigroups are nilpotent. We characterize epigroup varieties of finite degree in the language of identities and in terms of minimal forbidden subvarieties.
引用
收藏
页码：554 / 574
页数：21
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