Endomorphism rings of infinitely generated projective modules

AbstractLet RP be a projective R-module which is not finitely generated. Let E = EndR(P). This paper examines the structure of P as an E-module and relations between right ideals of R and E-submodules of P, between R-submodules of P and left ideals of E, and between right annihilators and left annihilators of subsets of E and closed R-submodules of P. The ring automorphisms of E are characterized. A basic assumption throughout is that P contains at least one unimodular element