首页|A Characterization of Sequentially Cohen-Macaulay Matroidal Ideals
A Characterization of Sequentially Cohen-Macaulay Matroidal Ideals
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Let R=K[x1,…,xn]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 IV has linear quotients.As a consequence,I is sequentially Cohen-Macaulay if and only if I is shellable.