On the ring of inertial endomorphismsof an abelian p-group

Abstract

An endomorphisms φ of a group G is said inertial if ∀H ≤ G |φ(H) : (H ∩φ(H))| < ∞. We study the ring of inertial endomorphisms of an abelian torsion group and the group of its units. Also the case of vector spaces is considered.