交换群代数的 Krull-Remak-Schmidt 分解

arXiv - MATH - Rings and Algebras Pub Date : 2024-08-26 DOI:arxiv-2408.14665

Robert Christian Subroto

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引用次数: 0

摘要

我们提供了 $k[G]$ 形式群集的 Krull-Remak-Schmidt 分解，其中 $k$ 是一个域，包括具有素数特征的域，而 $G$ 是一个有限无性群。我们通过研究$k[G]$的几何等价性来实现这一目标，我们称其为圆周坐标环。

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The Krull-Remak-Schmidt decomposition of commutative group algebras

We provide the Krull-Remak-Schmidt decomposition of group algebras of the form $k[G]$ where $k$ is a field, which includes fields with prime characteristic, and $G$ a finite abelian group. We achieved this by studying the geometric equivalence of $k[G]$ which we call circulant coordinate rings.

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arXiv - MATH - Rings and Algebras

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