2019
Том 71
№ 1

# Gorbachuk E. L.

Articles: 4
Brief Communications (English)

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

Ukr. Mat. Zh. - 2002. - 54, № 7. - pp. 1016-1019

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.

Article (Ukrainian)

### Axiomatizability of radical and semisimple classes of modules and Abelian groups

Ukr. Mat. Zh. - 1982. - 34, № 2. - pp. 151-157

Article (Ukrainian)