Some algebraic invariants of mixed product ideals

2007/11/20 by Ionescu, Cristodor, Rinaldo, Giancarlo
#13P10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0711.3061

Abstract

We compute some algebraic invariants (e.g. depth, Castelnuovo - Mumford regularity) for a special class of monomial ideals, namely the ideals of mixed products. As a consequence, we characterize the Cohen-Macaulay ideals of mixed products.

Related

• Betti numbers of mixed product ideals
• Generalized mixed product ideals
• Sequentially Cohen-Macaulay mixed product ideals
• Generalized mixed product ideals whose powers have a linear resolution
• Polymatroidal property of generalized mixed product ideals