Radical functors in the category of modules over different rings

Natalia Burban, Omelyan Horbachuk

Abstract


The category \(\mathcal{G}\) of all left modules over all rings is studied. Necessary and sufficient conditions for a preradical functor on \(\mathcal{G}\) to be radical are given. Radical functors on essential subcategories of \(\mathcal{G}\) are investigated.


Keywords


category, functor, radical functor, category of modules, essential subcategory

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