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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (45), 2004/

On I-radicals.

Authors: O. Horbachuk, Yu. Maturin

Abstract

In this paper I-radicals are studied. Rings are characterized with the help of I-radicals. For example, each I-radical over a left perfect ring splits if and only if this ring is a direct sum of finitely many left perfect rings, the Jacobson radicals of which are maximal ideals of them.

O. Horbachuk
Department of Mechanics and Mathematics
Lviv National University
Universitetska str. 1
Lviv, Ukraine 79000
Yu.Maturin,
Department of Mathematics Institute of Physics,
Mathematics and Computer Sciences Drohobych State Pedagogical University
Stryjska str. 3,
Drohobych 82100 Lvivska Oblast, Ukraine

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