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 \...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Datum:2025
1. Verfasser: Kępczyk, Marek
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2025
Schlagworte:
Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2396
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics