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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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 5, pp. 612–624, May, 2010.
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Dokuchaev, M.A., Gubareni, N.M. & Kirichenko, V.V. Semiperfect ipri-rings and right Bézout rings. Ukr Math J 62, 701–715 (2010). https://doi.org/10.1007/s11253-010-0382-y
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DOI: https://doi.org/10.1007/s11253-010-0382-y