On algebras that are sums of two subalgebras
We study an associative algebra \(A\) over an arbitrary field \(K\) that is a sum of two subalgebras \(B\) and \(C\) (i.e. \(A=B+C)\). Let \(\mathcal{M}\) be the class of algebras such that \(B, C\in \mathcal{M}\) implies \(A\in \mathcal{M}\). We prove, under some natural additional assumptions on \...
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| Date: | 2025 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2025
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2396 |
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| Journal Title: | Algebra and Discrete Mathematics |