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Mathematics 2018, 6(9), 161; https://doi.org/10.3390/math6090161

Resolving Decompositions for Polynomial Modules

Institut für Mathematik, Universität Kassel, 34132 Kassel, Germany
These authors contributed equally to this work.
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Received: 12 July 2018 / Revised: 3 September 2018 / Accepted: 4 September 2018 / Published: 7 September 2018
(This article belongs to the Special Issue Computer Algebra in Scientific Computing)
Full-Text   |   PDF [346 KB, uploaded 10 September 2018]

Abstract

We introduce the novel concept of a resolving decomposition of a polynomial module as a combinatorial structure that allows for the effective construction of free resolutions. It provides a unifying framework for recent results of the authors for different types of bases. View Full-Text
Keywords: polynomial modules; free resolutions; combinatorial decompositions polynomial modules; free resolutions; combinatorial decompositions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Albert, M.; Seiler, W.M. Resolving Decompositions for Polynomial Modules. Mathematics 2018, 6, 161.

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