Semiperfect ipri-rings and right Bézout rings

Dokuchaev M. A.; Gubareni N. M.; Kirichenko V. V.

Volume 71, № 11, 2019
(Current Issue)

2019

Том 71
№ 11

All Issues

Ukr. Mat. Zh.
Volume 62, № 5, 2010
pp. 612–624

Semiperfect ipri-rings and right Bézout rings

Dokuchaev M. A., Gubareni N. M., Kirichenko V. V.

Full text (.pdf)

Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 5, pp 701-715.

Citation Example: Dokuchaev M. A., Gubareni N. M., Kirichenko V. V. Semiperfect ipri-rings and right Bézout rings // Ukr. Mat. Zh. - 2010. - 62, № 5. - pp. 612–624.

Full text