Universally Koszul algebras defined by graphs

Details Universally Koszul algebras defined by graphs Universally Koszul algebras defined by graphs

2011-04-24

arxiv.org/abs/1104.4619v1

Mathematics

Commutative Algebra

4 pages

Scientific paper

In this note, it is proved that a graphs is $(2K_2,P_4)$-free if and only if
its edge ring is universally Koszul. Using properties of this family of graphs,
we show that Universally Koszul algebras defined by graphs have linear minimal
free resolution.

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