Let K be a field and let S = K[x_1,. . .,x_n] be a polynomial ring over K. Let F be a finitely generated graded free S-module with basis e_1, . . ., e_r in degrees f_1, .. ., f_r such that f_1 \leq f_2 \leq \dots \leq f_r. We examine some classes of squarefree monomial submodules of $F$. Hence, we focalize our attention on the Betti table of such classes in order to analyze the behavior of their extremal Betti numbers.
Titolo: | Squarefree monomial modules and extremal Betti numbers |
Autori: | |
Data di pubblicazione: | 2016 |
Rivista: | |
Abstract: | Let K be a field and let S = K[x_1,. . .,x_n] be a polynomial ring over K. Let F be a finitely generated graded free S-module with basis e_1, . . ., e_r in degrees f_1, .. ., f_r such that f_1 \leq f_2 \leq \dots \leq f_r. We examine some classes of squarefree monomial submodules of $F$. Hence, we focalize our attention on the Betti table of such classes in order to analyze the behavior of their extremal Betti numbers. |
Handle: | http://hdl.handle.net/11570/2781769 |
Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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