2008/07/17 by Laura Ghezzi, Ghezzi, Laura, Jooyoun Hong +3
Mathematics · #13A30 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A30
paper · pdf · doi:10.48550/arxiv.0807.2686
Example 3.8 (in pages 8-9) is revised
arxiv created 2009/02/19 · arxiv updated 2009/12/01
This paper considers the following conjecture: If R is an unmixed, equidimensional local ring that is a homomorphic image of a Cohen-Macaulay local ring, then for any ideal J generated by a system of parameters, the Chern coefficient e1(J)< 0 is equivalent to R being non Cohen-Macaulay. The conjecture is established if R is a homomorphic image of a Gorenstein ring, and for all universally catenary integral domains containing fields. Criteria for the detection of Cohen-Macaulayness in equi-generated graded modules are derived.