Squarefree revlex ideals

Marilena Crupi; Carmela Ferrò

doi:10.1216/JCA-2015-7-1-9

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Home > Journals > J. Commut. Algebra > Volume 7 > Issue 1 > Article

SPRING 2015 Squarefree revlex ideals

Marilena Crupi, Carmela Ferrò

J. Commut. Algebra 7(1): 9-23 (SPRING 2015). DOI: 10.1216/JCA-2015-7-1-9

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Abstract

We study the combinatorics of squarefree revlex ideals in a polynomial ring in $n$ variables with coefficients in a field $K$. We focus our attention on the relationship between squarefree revlex ideals and revlex ideals. Also, we analyze the extremal Betti numbers of squarefree revlex ideals.