Petter A. Bergh, David A. Jorgensen, W. Frank Moore. Source: Journal of Commutative Algebra, Volume 12, Number 4, 467--477.Abstract:
Let [math] be a commutative local Noetherian ring, [math] a [math] -regular sequence in [math] , and [math] . Given a complex of finitely generated free [math] -modules, we give a construction of a complex of finitely generated free [math] -modules having the same homology. A key application is when the original complex is an [math] -free resolution of a finitely generated [math] -module. In this case our construction is a sort of converse to a construction of Eisenbud and Shamash which yields a free resolution of an [math] -module [math] over [math] given one over [math] .