| Friday 19 April 2024 | |
| Events for day: Thursday 22 April 2021 |
| 11:00 - 13:00 Commutative Algebra Webinar Graded Ideals of König Type School MATHEMATICS For a graded ideal $I$ of a polynomial ring $S=K[x_1,ldots,x_n]$ over a field $K$, the Cohen-Macaulayness of the ring $S/I$ may depend on the characteristic of the base field $K$ in general. Even when $I$ is the edge ideal of a graph, this is the case. Nevertheless, for some families of graphs like chordal graphs and K"onig graphs, the Cohen--Macaulay property of the edge ideal $I(G)$ has combinatorial descriptions which means that it is independent of the base field. In this talk, inspired by the notion of K"onig graphs, we introduce graded ideals of K"onig type with respect to a monomial order $<$. It turns out that if $I$ is of K"onig type ... |