$I$-Radicals, Their Lattices, and Some Classes of Rings

We describe some I-radicals in the categories of modules over semilocal rings. We give a characterization of rings over which the set of I-radicals coincides with the set of hereditary idempotent radicals. We prove that the lattices of I-radicals in the categories of modules over Morita-equivalent r...

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Bibliographic Details
Date:2002
Main Authors: Gorbachuk, E. L., Maturin, Yu. P., Горбачук, О. Л., Матурін, Ю. П.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2002
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4141
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal