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Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 11th International S Gérard Cohen,Marc Giusti,Teo Mora Conference proceed

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,When polynomial equation systems can be “solved” fast?,thod is the use of an alternative data structure: arithmetic networks and straight-line programs with FOR gates. For sequential time complexity measured by the size of these networks we obtain the following result: it is possible to solve any affine or toric zero-dimensional equation system in non-u
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,Triangular systems and factorized Gröbner bases,alities. Here we discuss, how this approach may be refined to produce triangular systems in the sense of [12] and [13]. Such a refinement guarantees, different to the usual Gröbner factorizer, to produce a quasi prime decomposition, i.e. the resulting components are at least pure dimensional radical
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Development of Modern Heating Technologyl terms, which have the chemical formula C.H.. The existence of chemical isomerism was stated by the end of the eighteenth century, it was verified a quarter of a century later and explained another half of a century afterwards. It stimulated the development of graph theory and gave birth to algebra
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System Level Specifications and Design,, ..] a regular sequence with .:=max. deg f., . the generated ideal, . its radical, and suppose that the factor ring ..,...,..]/. is a Cohen-Macaulay ring. Under these assumptions we exhibit a single exponential algorithm which computes a system of generators of ..
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