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Document
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.

Cite as

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-dev.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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