Representing subalgebras as retracts of finite subdirect powers

被引：1

作者：

Kearnes, Keith A. ^{[1
]}

Rasstrigin, Alexander ^{[2
]}

机构：

[1] Univ Colorado, Dept Math, Boulder, CO 80309 USA

[2] Volgograd State Sociopedag Univ, Dept Higher Math & Phys, Volgograd, Russia

来源：

ALGEBRA UNIVERSALIS | 2020年 / 81卷 / 04期

基金：

美国国家科学基金会;

关键词：

Formation; Higher commutator; Nilpotent; Pseudovariety; Retract; Subalgebra; Subdirect power; Supernilpotent; Two term condition;

D O I：

10.1007/s00012-020-00675-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if A is an algebra that is supernilpotent with respect to the 2-term higher commutator, and B is a subalgebra of A, then B is representable as a retract of a finite subdirect power of A.

引用

页数：13

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