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

• Datum: 2002
• Hauptverfasser: Gorbachuk, E. L., Maturin, Yu. P., Горбачук, О. Л., Матурін, Ю. П.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4141
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...