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Spring 2020 Computing general strongly stable modules with given extremal Betti numbers
Marilena Crupi
J. Commut. Algebra 12(1): 53-70 (Spring 2020). DOI: 10.1216/jca.2020.12.53

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 M ˜ of a finitely generated graded free S -module F ˜ , rank F ˜ rank F , which preserves values and positions of the extremal Betti numbers of  M , is proved.

Citation

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Marilena Crupi. "Computing general strongly stable modules with given extremal Betti numbers." J. Commut. Algebra 12 (1) 53 - 70, Spring 2020. https://doi.org/10.1216/jca.2020.12.53

Information

Received: 1 June 2016; Revised: 7 July 2017; Accepted: 18 July 2017; Published: Spring 2020
First available in Project Euclid: 13 May 2020

zbMATH: 07211324
MathSciNet: MR4097055
Digital Object Identifier: 10.1216/jca.2020.12.53

Subjects:
Primary: 13B25, 13D02, 16W50

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.12 • No. 1 • Spring 2020
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