Let S be a polynomial ring in n variables over a field K of any characteristic. Let M be a strongly stable submodule of a finitely generated graded free S-module F, with all basis elements of F of the same degree. The existence of a general strongly stable submodule N of a finitely generated graded free S-module F', rank F' maggiore o uguale di rank F, which preserves values and positions of the extremal Betti numbers of M, is proved.
Computing general strongly stable modules with given extremal Betti numbers
Crupi, Marilena
Writing – Original Draft Preparation
2020-01-01
Abstract
Let S be a polynomial ring in n variables over a field K of any characteristic. Let M be a strongly stable submodule of a finitely generated graded free S-module F, with all basis elements of F of the same degree. The existence of a general strongly stable submodule N of a finitely generated graded free S-module F', rank F' maggiore o uguale di rank F, which preserves values and positions of the extremal Betti numbers of M, is proved.File in questo prodotto:
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