Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, Number 2, Pages 89–94 (Mi basm169)  
This article is cited in 1 scientific paper (total in 1 paper)

Research articles

On $I$-radicals

O. Horbachuka, Yu. Maturinb

a Department of Mechanics and Mathematics, Lviv National University, Lviv, Ukraine
b Department of Mathematics, Institute of Physics, Mathematics and Computer Sciences, Drohobych State Pedagogical University, Drohobych, Lvivska Oblast, Ukraine
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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.
Keywords and phrases: Radical, $T$-nilpotent ideal, perfect ring.
Received: 07.10.2004
Bibliographic databases:
Document Type: Article
MSC: 16D90
Language: English
Citation: O. Horbachuk, Yu. Maturin, “On $I$-radicals”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 2, 89–94
Citation in format AMSBIB
\Bibitem{HorMat04}
\by O.~Horbachuk, Yu.~Maturin
\paper On $I$-radicals
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2004
\issue 2
\pages 89--94
\mathnet{http://mi.mathnet.ru/basm169}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2122263}
\zmath{https://zbmath.org/?q=an:1071.16016}
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    • This publication is cited in the following 1 articles:
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