A SHORT PROOF OF A RESULT OF NAGEL

Document Type : Original Manuscript

Author

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

Abstract

Let

(R, f m)

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_{f m}^{i} (M) c o n g H_{f m}^{i} (N)

for all $iIn this paper, we provide a short proof to this result.

Keywords