Document Type: Original Manuscript

Author

Department of Mathematics, University of Tabriz, P.O.Box 51666-16471, Tabriz, Iran.

Abstract

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

Keywords