Inclusion Ideals Associated to Uniformly Increasing Hypergraphs

Details Inclusion Ideals Associated to Uniformly Increasing Hypergraphs Inclusion Ideals Associated to Uniformly Increasing Hypergraphs

2011-01-10

arxiv.org/abs/1101.1781v3

Mathematics

Commutative Algebra

6 pages, 1 figure

Scientific paper

In this paper,we introduce the monomial ideals I(H) associated to a special class of non uniform hypergraphs H(X; E; d) namely uniformly increasing hypergraphs. These ideals are named as inclusion ideals. In this paper, we discuss some algebraic properties of these inclusion ideals. In particular, we give an upper bound of the Castlenouvo-Mumford regularity of the special dual ideal I^[*](H) of the inclusion ideal.

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