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.
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页码：3826 / 3842
页数：17
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