Semiperfect ipri-rings and right Bézout rings

We present a survey of some results on ipri-rings and right Bézout rings. All these rings are generalizations of principal ideal rings. From the general point of view, decomposition theorems are proved for semiperfect ipri-rings and right Bézout rings.

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Bibliographische Detailangaben
Veröffentlicht in:	Ukrainian mathematical journal 2010-11, Vol.62 (5), p.701-715
Hauptverfasser:	Dokuchaev, M. A., Gubareni, N. M., Kirichenko, V. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We present a survey of some results on ipri-rings and right Bézout rings. All these rings are generalizations of principal ideal rings. From the general point of view, decomposition theorems are proved for semiperfect ipri-rings and right Bézout rings.
ISSN:	0041-5995 1573-9376
DOI:	10.1007/s11253-010-0382-y