Automorphisms of categories of free algebras with unit for classical varieties of non-associative algebras

被引：1
|
作者：
Aladova, E. [1 ,2 ]
机构：
[1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo, SP, Brazil
[2] Univ Sao Paulo, Inst Math & Stat, Rua Matao, 1010, BR-05508090 Sao Paulo, SP, Brazil
来源：
COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 09期
基金：
以色列科学基金会;
关键词：
Automorphisms of the category of free algebras; method of verbal operations; subvarieties of non-associative linear algebras with unit; universal algebraic geometry; variety of non-associative linear algebras with unit; GEOMETRY; EQUIVALENCE;
D O I：
10.1080/00927872.2024.2330687
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of this paper is to describe the group of strongly stable automorphisms for categories of free finitely generated non-associative algebras with unit for classical varieties of non-associative algebras, in particular for the varieties of commutative, Jordan, alternative and power associative algebras. The motivation of this research is tightly connected with some problems in Universal Algebraic Geometry.
引用
收藏
页码：3826 / 3842
页数：17
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