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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Vydáno v:Mathematics (Basel) Ročník 6; číslo 9; s. 161
Hlavní autoři: Albert, Mario, Seiler, Werner M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.09.2018
Témata:
Algebra
Algorithms
combinatorial decompositions
Decomposition
free resolutions
Geometry
Mathematics
polynomial modules
Polynomials
New York
United States > US
Switzerland
Germany
ISSN:2227-7390, 2227-7390
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Shrnutí: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