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Amir Mafi

Amir Mafi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId: 14627657300
HIndex:
Faculty: Faculty of Science
Address:
Phone: 33624133

Research

Title
Sequentially Cohen-Macaulay Matroidal Ideals
Type
JournalPaper
Keywords
Sequentially Cohen-Macaulay, monomial ideals, matroidal ideals
Year
2020
Journal FILOMAT
DOI
Researchers Madineh Jafari ، Amir Mafi ، Hero Saremi

Abstract

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 $d\geq 3$ in some special cases.