Let K be a field and let S = K[x1,...,xn] be a polynomial ring over K. Let F = ir=1 Sei be a finitely generated graded free S-module with basis {e1,..., er} in degrees f1,..., fr such that f1≤ f2 ~≤……≤ fr. We exa...Let K be a field and let S = K[x1,...,xn] be a polynomial ring over K. Let F = ir=1 Sei be a finitely generated graded free S-module with basis {e1,..., er} in degrees f1,..., fr such that f1≤ f2 ~≤……≤ fr. 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.展开更多
文摘Let K be a field and let S = K[x1,...,xn] be a polynomial ring over K. Let F = ir=1 Sei be a finitely generated graded free S-module with basis {e1,..., er} in degrees f1,..., fr such that f1≤ f2 ~≤……≤ fr. 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.
