New York Journal of Mathematics
Volume 7 (2001) 1-6


Hara Charalambous and Christa Deno

Multigraded Modules

Published: March 15, 2001
Keywords: multidegree, multigraded, squarefree, resolution, syzygies
Subject: 13C05, 13C10, 13D02, 13D10

Let R=k[x1,..., xn] be a polynomial ring over a field k. We present a characterization of multigraded R-modules in terms of the minors of their presentation matrix. We describe explicitly the second syzygies of any multigraded R-module.

Author information

Hara Charalambous:
Dept. of Math., SUNY, Albany, NY 12222

Christa Deno:
Dept. of Math. and Comp. Science, The Sage Colleges, Troy, NY 12180