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

• Published in: Український математичний журнал
• Date: 2002
• ISSN: 1027-3190
• Main Authors: Horbachuk, O.L., Martin, Yu.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2002
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164352
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: I-Radicals, Their Lattices, and Some Classes of Rings / O.L. Horbachuk, Yu.P. Martin // Український математичний журнал. — 2002. — Т. 54, № 7. — С. 1016–1019. — Бібліогр.: 8 назв. — англ.

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...