Semiperfect ipri-rings and right Bézout rings

• Date: 2010
• Main Authors: Gubareni, N. M., Dokuchaev, M. A., Kirichenko, V. V., Губарені, Н. М., Докучаєв, М. А., Кириченко, В. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2892
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.