关于简单代数的广义梯度交叉积和kummer子域

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI:10.4134/BKMS.B180722

D. Bennis, Karim Mounirh, Fouad Taraza

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引用次数: 0

摘要

利用广义梯度交叉积，给出了一个简单代数在Henselian值域上(在某些假设下)具有Kummer子域的充要条件。这项研究概括了一些已知的工作。我们还研究了广义梯度交叉积的许多性质，以及将一个梯度简单代数嵌入到一个梯度除法环的矩阵代数中的条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

ON GENERALIZED GRADED CROSSED PRODUCTS AND KUMMER SUBFIELDS OF SIMPLE ALGEBRAS

Using generalized graded crossed products, we give necessary and sufficient conditions for a simple algebra over a Henselian valued field (under some hypotheses) to have Kummer subfields. This study generalizes some known works. We also study many properties of generalized graded crossed products and conditions for embedding a graded simple algebra into a matrix algebra of a graded division ring.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).