Presentations of modules over local domains (Q1270105)

Let \(R\) be a ring. For a given \(R\)-module \(A\), two presentations of \(A\) by free \(R\)-modules \(G\) and \(G'\) are strongly isomorphic if every automorphism of \(A\) lifts to an isomorphism of \(G\) to \(G'\). This paper studies a characterization of strongly isomorphic presentations of modules over local domains by means of cardinal invariants associated with the presentations.