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A method to compute the General Neron Desingularization in the frame of one dimensional local domains

2015/08/22 by Adrian Popescu, Popescu, Adrian, Dorin Popescu +1 · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #math.AC

paper · pdf · doi:10.48550/arxiv.1508.05511

In this version some examples were added and many misprints were corrected especially from the last section

arxiv created 2015/09/21 · arxiv updated 2015/09/22

Abstract

An algorithmic proof of General Neron Desingularization is given here for one dimensional local domains and it is implemented in Singular. Also a theorem recalling Greenberg' strong approximation theorem is presented for one dimensional Cohen-Macaulay local rings.

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