On the dimension of the minimal vertex covers semigroup ring of an unmixed bipartite graph

Details On the dimension of the minimal vertex covers semigroup ring of an unmixed bipartite graph On the dimension of the minimal vertex covers semigroup ring of an unmixed bipartite graph

2008-11-05

arxiv.org/abs/0811.0747v2

LE MATEMATICHE Vol. LXIII, Fasc. II, pp. 157-163 (2008)

Mathematics

Commutative Algebra

6 pages, Pragmatic 2008, University of Catania (Italy); corrected typos

Scientific paper

In a paper in 2008, Herzog, Hibi and Ohsugi introduced and studied the
semigroup ring associated to the set of minimal vertex covers of an unmixed
bipartite graph. In this paper we relate the dimension of this semigroup ring
to the rank of the Boolean lattice associated to the graph.

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