Resolving Decompositions for Polynomial Modules

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.

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Veröffentlicht in:Mathematics (Basel) Jg. 6; H. 9; S. 161
Hauptverfasser: Albert, Mario, Seiler, Werner M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Basel MDPI AG 01.09.2018
Schlagworte:
Algebra
Algorithms
combinatorial decompositions
Decomposition
free resolutions
Geometry
Mathematics
polynomial modules
Polynomials
New York
United States > US
Switzerland
Germany
ISSN:2227-7390, 2227-7390
Online-Zugang:Volltext
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Zusammenfassung: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.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math6090161