Pseudo-Semisimple Rings

Pseudo-Semisimple Rings

We characterize right-pseudo-semisimple rings (i.e. rings $R$ for which every right ideal is semisimple or isomorphic to $R$) which are split extensions of their right socle.

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Veröffentlicht in:Proceedings of the American Mathematical Society 1982-06, Vol.85 (2), p.157-160
Hauptverfasser: Mohamed, Saad, Müller, Bruno J.
Format: Artikel
Sprache:eng
Schlagworte:
Linear transformations
Mathematical rings
Mathematical theorems
Polynomials
Subrings
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Beschreibung
Zusammenfassung:We characterize right-pseudo-semisimple rings (i.e. rings $R$ for which every right ideal is semisimple or isomorphic to $R$) which are split extensions of their right socle.
ISSN:0002-9939
1088-6826
DOI:10.2307/2044271