1998/12/18 by R. Laubenbacher, Laubenbacher, R., I. Swanson +1 · 1 citation
Mathematics · #13C05 #13P10 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13C05 #msc:13P10
paper · pdf · doi:10.48550/arxiv.math/9812112
13 pages
arxiv created 1998/12/18 · arxiv updated 2009/11/30
The principal result is a primary decomposition of ideals generated by the (2x2)-subpermanents of a generic matrix. These permanental ideals almost always have embedded components and their minimal primes are of three distinct heights. Thus the permanental ideals are almost never Cohen-Macaulay, in contrast with determinantal ideals.