- International Electronic Journal of Algebra
- Vol: 30 Issue: 30
- ON THE EXTREMAL BETTI NUMBERS OF SQUAREFREE MONOMIAL IDEALS
ON THE EXTREMAL BETTI NUMBERS OF SQUAREFREE MONOMIAL IDEALS
Authors : Luca Amata, Marilena Crupi
Pages : 168-202
Doi:10.24330/ieja.969656
View : 9 | Download : 9
Publication Date : 2021-07-17
Article Type : Research
Abstract :Let $K$ be a field and $S=K[x_1,\dots,x_n]$ be a polynomial ring over $K$. We discuss the behaviour of the extremal Betti numbers of the class of squarefree strongly stable ideals. More precisely, we give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of such a class of squarefree monomial ideals.Keywords : Graded ideal, squarefree monomial ideal, minimal graded resolution