关于代数的矩阵环积

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2017-08-01 DOI:10.3934/ERA.2017.24.009

A. Alahmadi, H. Alsulami, S. Jain, E. Zelmanov

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引用次数: 5

摘要

我们引入了代数的矩阵环积的一种新构造，它类似于L.Kaloujnine和M.Krasner[17]引入的群的环积的构造。然后，我们通过证明有限生成代数中的嵌入定理和构造具有规定GelfandKirillov维数的零代数来说明它的有用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On matrix wreath products of algebras

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.

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来源期刊

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007