ON MATRIX WREATH PRODUCTS OF ALGEBRAS

被引：5

作者：

Alahmadi, Adel ^{[1
]}

Alsulami, Hamed ^{[1
]}

Jain, S. K. ^{[2
]}

Zelmanov, Efim ^{[3
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia

[2] Ohio Univ, Dept Math, Athens, OH 45701 USA

[3] Univ Calif San Diego, Dept Math, San Diego, CA 92103 USA

来源：

ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES | 2017年 / 24卷

基金：

美国国家科学基金会;

关键词：

growth function; associative algebra; wreath product; GELFAND-KIRILLOV DIMENSION; POLYNOMIALLY BOUNDED GROWTH; NIL ALGEBRAS; LIE-ALGEBRAS;

D O I：

10.3934/era.2017.24.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a new construction of matrix wreath products of algebras that is similar to the construction of wreath products of groups introduced by L. Kaloujnine and M. Krasner [17]. We then illustrate its usefulness by proving embedding theorems into finitely generated algebras and constructing nil algebras with prescribed Gelfand-Kirillov dimension.

引用

页码：78 / 86

页数：9

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