对合代数中的嵌入问题

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2025-03-10 DOI:10.1007/s00013-025-02110-4

Jonatan Andres Gomez Parada

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引用次数: 0

摘要

设K为特征为零的代数闭域，设A和B为两个对K有对合的简单代数。本文研究了对合代数的嵌入问题。更具体地说，如果代数A满足具有代数B对合的多项式恒等式，我们研究了是否存在A嵌入到B中并保持对合。

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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The embedding problem in algebras with involution

Let K be an algebraically closed field of characteristic zero, and let A and B be two simple algebras with involution over K. In this note, we study the embedding problem for algebras with involution. More specifically, if the algebra A satisfies the polynomial identities with involution of the algebra B, we investigate whether there exists an embedding of A into B that preserves the involutions.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.