IMI/Publicaţii/BASM/Ediţii/BASM n.2 (12), 1993/

Idempotents and the radical with respect to a right ideal. (Russian)

Authors: Andrunakievich V. A., Reabuhin Iuri


Properties of elements and right ideals of a ring relative to the fixed right ideal $P$ are investigated. The analogues of idempotent elements and their relation to the quasi-regular radical ${\Cal J}(R,P)$ are studied. This permits to demonstrate structural theorems relative to $P$ which turn into the classical theorems in the case when $P=0$.

Institutul de Matematica Academia de Ştiinţe a Moldovei
str. Academiei 5, Chişinău MD-2028, Moldova