I-Radicals,Their Lattices,and Some Classes of Rings |
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| Authors: | Horbachuk O L Maturin Yu P |
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| Institution: | (1) Lviv National University, Lviv;(2) Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv |
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| Abstract: | 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 rings are isomorphic. |
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