2017
Том 69
№ 9

All Issues

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

Gorbachuk E. L., Maturin Yu. P.

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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.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 7, pp 1221-1226.

Citation Example: Gorbachuk E. L., Maturin Yu. P. $I$-Radicals, Their Lattices, and Some Classes of Rings // Ukr. Mat. Zh. - 2002. - 54, № 7. - pp. 1016-1019.

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