Marilena Crupı, Carmela Ferrò
Abstract
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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.
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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.
Key concepts: Square-free integer, Mathematics, Betti number, Polynomial ring, Combinatorics, Polynomial, Mathematical analysis