ABSTRACT
Chapter 16 Every Endomorphism of a Local Warfield Module is the Sum of Two Automorphisms Paul Hill Department of Mathematics, Western Kentucky University, Bowling Green, Kentucky 42101, USA paul.hill@wku.edu
Charles Megibben Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240, USA megibben@math.vanderbilt.edu
William Ullery Department of Mathematics and Statistics, Auburn University, Auburn, Alabama 36849, USA ullery@math.auburn.edu
16.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175 16.2 The Key Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176 16.3 Proof of the Main Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180
Abstract In this paper, we prove the title statement, except of course for p = 2 (where it is false); all modules here are over the ring of integers localized at a prime p. The same result was proved by R. Go¨bel and A. Opdenho¨vel for modules having finite torsion-free rank.
