%0 Journal Article
%T Multiplicities of semidualizing modules
%A Susan M. Cooper
%A Sean Sather-Wagstaff
%J Mathematics
%D 2010
%I arXiv
%X A finitely generated module C over a commutative noetherian ring R is semidualizing if Hom_R(C,C) \cong R and Ext^i_R(C,C) = 0 for all i \geq 1. For certain local Cohen-Macaulay rings (R,m), we verify the equality of Hilbert-Samuel multiplicities e_R(J;C) = e_R(J;R) for all semidualizing R-modules C and all m-primary ideals J. The classes of rings we investigate include those that are determined by ideals defining fat point schemes in projective space or by monomial ideals.
%U http://arxiv.org/abs/1001.2632v2