Automorphisms of the endomorphism algebra of a free module

Let R   be a commutative ring with identity 1∈R1∈R and V a free R  -module of arbitrary rank. Let EndR(V)EndR(V) denote the R-algebra of all R-linear endomorphisms of V. We show that all R  -algebra automorphisms of EndR(V)EndR(V) are inner if R   is a Bezout domain. We also consider 2-local automorphisms of EndR(V)EndR(V).