پديدآورندگان :
Jafari Madineh madineh.jafari3978@gmail.com Department of Mathematics, University of Kurdistan, P.O. Box: 416, Sanandaj, Iran. , Mafi Amir a_mafi@ipm.ir Department of Mathematics, University of Kurdistan, P.O. Box: 416, Sanandaj, Iran. , Saremi Hero hero.saremi@gmail.com Department of Mathematics, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran
كليدواژه :
Sequentially Cohen , Macaulay , monomial ideals , matroidal ideals
چكيده فارسي :
Let R = K[x1, ..., xn] 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_x0002_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.
