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Henselian Local Rings: Around a Work in Progress

Authors: Hervé Perdry, Mariemi Alonso, and Henri Lombardi

Published in: Dagstuhl Seminar Proceedings, Volume 5021, Mathematics, Algorithms, Proofs (2006)

Abstract

I shall outline an elementary and effective construction of the Henselization of a local ring (which could be implemented in some computer algebra systems) and an effective proof of several classical results about Henselian local rings.

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Hervé Perdry, Mariemi Alonso, and Henri Lombardi. Henselian Local Rings: Around a Work in Progress. In Mathematics, Algorithms, Proofs. Dagstuhl Seminar Proceedings, Volume 5021, pp. 1-8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{perdry_et_al:DagSemProc.05021.14,
  author =	{Perdry, Herv\'{e} and Alonso, Mariemi and Lombardi, Henri},
  title =	{{Henselian Local Rings: Around a Work in Progress}},
  booktitle =	{Mathematics, Algorithms, Proofs},
  pages =	{1--8},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{5021},
  editor =	{Thierry Coquand and Henri Lombardi and Marie-Fran\c{c}oise Roy},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05021.14},
  URN =		{urn:nbn:de:0030-drops-4371},
  doi =		{10.4230/DagSemProc.05021.14},
  annote =	{Keywords: Local rings, henselian local rings}
}

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Henselian Local Rings: Around a Work in Progress

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