Sequentially Cohen-Macaulay matroidal ideals


Madineh Jafari, Amir Mafi, Hero Saremi




Let R = K[x 1 , ..., x n ] be the polynomial ring in n variables over a field K and let I be a matroidal ideal of degree d in R. Our main focus is determining when matroidal ideals are sequentially Cohen-Macaulay. In particular, all sequentially Cohen-Macaulay matroidal ideals of degree 2 are classified. Furthermore, we give a classification of sequentially Cohen-Macaulay matroidal ideals of degree d ≥ 3 in some special cases