MATHEMATICS

On radicals in the category of modules over a csp-ring

E. A. Timoshenko

Tomsk State University

Abstract: We obtain a complete description of torsions and cotorsions of the category of modules over an arbitrary csp-ring. It is also proved that all radical classes of this category are closed under pure submodules.

Keywords: module, radical, torsion, cotorsion, pure submodule, csp-ring.

UDC: 512.553+512.541

Received: 13.06.2011