Fitting ideals and the Gorenstein property
Commutative Algebra
2009-10-14 v2
Abstract
Let p be a prime number and G be a finite commutative group such that p^{2} does not divide the order of G. In this note we prove that for every finite module M over the group ring Z_{p}[G], the inequality #M \leq #Z_{p}[G]/Fit_{Z_{p}[G]}(M) holds. Here, Fit_{Z_{p}[G]}(M) is the Z_{p}[G]-Fitting ideal of M.
Cite
@article{arxiv.0902.3204,
title = {Fitting ideals and the Gorenstein property},
author = {Burcu Baran},
journal= {arXiv preprint arXiv:0902.3204},
year = {2009}
}
Comments
9 pages