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- W2246880204 abstract "M. Morales introduced a family of binomial ideals that are binomial extensions of square free monomial ideals. Let $Isubset si$ be a square free monomial ideal and $Jsubsetsis$ a sum of scroll ideals with some extra conditions, we define the binomial extension of $I$ as $B=I+Jsubset sis$. We set $p_2(B)$ the minimal $iinN$ such that there exists $j>2$ such that $beta_{i,i+j}(B)neq 0$. In the case where J=0, Froberg characterized combinatorally the case $p_2(I)=infty$; later Eisenbud et al. solved the case $p_2(I)<infty$. We obtain a similar result as Froberg for the binomial extensions and we find lower and upper bounds of $p_2(B)$ for some families of binomial extensions in combinatorial terms as Eisenbud et al. With some additional hypothesis we can compute $p_2(B)$." @default.
- W2246880204 created "2016-06-24" @default.
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- W2246880204 date "2012-11-22" @default.
- W2246880204 modified "2023-09-27" @default.
- W2246880204 title "The ${rm N}_{2,p}$-property of binomial extensions of simplicial complexes" @default.
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