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Codismantlability and projective dimension of the Stanley-Reisner ring\n of special hypergraphs

2013/05/25 by Fahimeh Khosh-Ahang, Khosh-Ahang, Fahimeh, Somayeh Moradi +1
Mathematics · Computer Science · #Rings, Modules, and Algebras #Advanced Algebra and Logic #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.1305.5954

Abstract

In this paper firstly, we generalize the concept of codismantlable graphs to\nhypergraphs and show that some special vertex decomposable hypergraphs are\ncodismantlable. Then we generalize the concept of bouquet in graphs to\nhypergraphs to extend some combinatorial invariants of graphs about\ndisjointness of a set of bouquets. We use these invariants to characterize the\nprojective dimension of Stanley-Reisner ring of special hypergraphs in some\nsense.\n

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