Resolving Decompositions of Polynomial Modules
Co-author(s): Mario Albert
Reference: In preparation
Description: We provide a unifying framework for some results of [32, 91, 41] and for some generalisations of them. Starting with the axiomatic definition of a resolving decomposition as a basis defining a combinatorial decomposition and a division algorithm, we show first a Schreyer Theorem for such bases and discuss then the construction of free resolutions based on it.
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