IPM Calendar 
Wednesday 8 December 2021   Today  
Events for day: Thursday 04 November 2021    
           11:00 - 13:00     Commutative Algebra Webinar
A Characterization of Sequentially Cohen-Macaulay Matroidal Ideals

School
MATHEMATICS

Let $R=K[x_1,...,x_n]$ be the polynomial ring in $n$ variables over a field $K$ and $I$ be a matroidal ideal of $R$. We show that $I$ is sequentially Cohen-Macaulay if and only if the Alexander dual $I^{vee}$ has linear quotients. As consequence, $I$ is sequentially Cohen-Macaulay if and only if $I$ is shellable.

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