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Amir Mafi

Amir Mafi

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

Research

Title
Unmixedness and arithmetic properties of matroidal ideals
Type
JournalPaper
Keywords
Arithmetical rank‎, ‎Unmixed ideals‎, ‎Matroidal ideals
Year
2020
Journal ARCHIV DER MATHEMATIK
DOI
Researchers Hero Saremi ، Amir Mafi

Abstract

‎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 degree $d$‎. ‎In this paper‎, ‎we study the unmixedness properties and the arithmetical rank of $I$‎. ‎Moreover‎, ‎we show that $ara(I)=n-d+1$‎. ‎This answers the conjecture made by H‎. ‎J‎. ‎Chiang-Hsieh \cite[Conjecture]{C}‎.