Local Finiteness of Algebras
- 作者: Golubkov A.1
-
隶属关系:
- Bauman Moscow State Technical University
- 期: 卷 221, 编号 3 (2017)
- 页面: 326-359
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238981
- DOI: https://doi.org/10.1007/s10958-017-3230-x
- ID: 238981
如何引用文章
详细
The paper represents a series of comments to the K. A. Zhevlakov and I. P. Shestakov theorem on the existence of a locally finite in the sense of Shirshov over an ideal of the ground ring radical on the class of algebras that are algebraic over this ideal and belong to some sufficiently good homogeneous variety. It is shown in detail how the given theorem includes Plotkin’s and Kuz’min’s theorems on the existence of a locally finite radical on the classes of algebraic Lie and Mal’tsev algebras. There is adduced its generalization to locally finite extensions of ideally algebraic Lie and alternative algebras.
作者简介
A. Golubkov
Bauman Moscow State Technical University
编辑信件的主要联系方式.
Email: artgolub@hotmail.com
俄罗斯联邦, Moscow