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

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Ukrainian Mathematical Journal Aims and scope

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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Authors and Affiliations

  1. Lviv National University, Lviv

    O. L. Horbachuk

  2. Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv

    Yu. P. Maturin

Authors
  1. O. L. Horbachuk
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  2. Yu. P. Maturin
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Horbachuk, O.L., Maturin, Y.P. I-Radicals, Their Lattices, and Some Classes of Rings. Ukrainian Mathematical Journal 54, 1221–1226 (2002). https://doi.org/10.1023/A:1022039114611

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  • DOI: https://doi.org/10.1023/A:1022039114611

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