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Title: Wedderburn-Malcev decomposition of one-sided ideals of finite dimensional algebras
Authors: Baranov, A. A.
Mudrov, A.
Shlaka, H. M.
First Published: 8-Feb-2018
Publisher: Taylor & Francis
Citation: Communications in Algebra, 2018
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 is a semisimple subalgebra $S$ of $A$ such that $I=I_S\oplus I_R$ where $I_S=I\cap S$ and $I_R=I\cap R$.
DOI Link: 10.1080/00927872.2018.1424876
ISSN: 0092-7872
eISSN: 1532-4125
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2018, Taylor & Francis. Deposited with reference to the publisher’s open access archiving policy.
Description: The file associated with this record is under embargo until 12 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.
Appears in Collections:Published Articles, Dept. of Mathematics

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