IMI/Publicaţii/BASM/Ediţii/BASM n.1 (14), 1994/

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

Authors: Andrunakievich V. A., Reabuhin Iuri


The examination of the theory of rings is continued (idempotentiality, quasiregularity, minimality) relatively to the fixed right ideal $P$, but not relatively to zero as it is usually accepted. A number of theorems, which in the case when $P=0$ turn into known results, are proved; some of them are defined more exactly. So, for example, Brauer's proposal about the minimal right ideal rings, as well as Krull's theorem about the enclosure of proper ideals of a ring with a unity in the maximal ideals are generalized and defined more precisely.

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