A SHORT PROOF OF A RESULT OF NAGEL

Abstract

Let $(R,fm)$ be a Gorenstein local ring and<br />$M,N$ be two finitely generated modules over $R$. Nagel proved that if $M$ and $N$ are in<br />the same even liaison class, then<br />one has $H^i_{fm}(M)cong H^i_{fm}(N)$ for all $iIn this paper, we provide a short proof to this result.