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arXiv · 1609.05812

Wedderburn-Malcev decomposition of one-sided ideals of finite dimensional algebras

Alexander Baranov·Andrey Mudrov·Hasan Shlaka
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Abstract

Let $A$ be a finite dimensional associative algebra over a perfect field and let $R$ be the radical of $A$. We show that for every one-sided ideal $I$ of $A$ there exists a semisimple subalgebra $S$ of $A$ such that $I=I_{S}\oplus I_{R}$ where $I_{S}=I\cap S$. and $I_{R}=I\cap R$.

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Alexander Baranov, Andrey Mudrov, Hasan Shlaka. 2016-09-16. Wedderburn-Malcev decomposition of one-sided ideals of finite dimensional algebras. https://doi.org/10.1080/00927872.2018.1424876

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