Abstract
Let A be a chain ring that is a faithful algebra over a commutative chain ring R, such that (A) over bar = A/J(A) is a separable, normal, algebraic field extension of (R) over bar = R/J(R) and (A) over bar is countably generated over (R) over bar. It has been recently proved by Alkhamees and Singh that A has a coefficient ring R-0, and there exists a pair (theta, sigma) with theta is an element of A, sigma an R-automorphism of R-0 such that J(A) = theta A = A theta, and theta a - sigma(a)theta, a is an element of R-0. The question of the extension of certain R-automorphisms of R-0 to R-automorphisms of A is investigated.