Abstract:
In the present work the relations between the
closure operators of two module categories are investigated in the
case when the given categories are connected by two covariant
adjoint functors H : R-Mod −→ S-Mod and T : S-Mod −→ R-Mod.
Two mappings are defined which ensure the transition between the
closure operators of categories R-Mod and S-Mod. Some important
properties of these mappings are proved. It is shown that the studied
mappings are compatible with the order relations and with the main
operations.
