Formal Laurent series in several variables

We explain the construction of fields of formal infinite series in several variables, generalizing the classical notion of formal Laurent series in one variable. Our discussion addresses the field operations for these series (addition, multiplication, and division), the composition, and includes an...

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Detalles Bibliográficos
Autores principales: Aparicio Monforte, Ainhoa, Kauers, Manuel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier GmbH 2013
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4587312/
https://www.ncbi.nlm.nih.gov/pubmed/26478652
http://dx.doi.org/10.1016/j.exmath.2013.01.004
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author Aparicio Monforte, Ainhoa
Kauers, Manuel
author_facet Aparicio Monforte, Ainhoa
Kauers, Manuel
author_sort Aparicio Monforte, Ainhoa
collection PubMed
description We explain the construction of fields of formal infinite series in several variables, generalizing the classical notion of formal Laurent series in one variable. Our discussion addresses the field operations for these series (addition, multiplication, and division), the composition, and includes an implicit function theorem.
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spelling pubmed-45873122015-10-15 Formal Laurent series in several variables Aparicio Monforte, Ainhoa Kauers, Manuel Expo Math Article We explain the construction of fields of formal infinite series in several variables, generalizing the classical notion of formal Laurent series in one variable. Our discussion addresses the field operations for these series (addition, multiplication, and division), the composition, and includes an implicit function theorem. Elsevier GmbH 2013 /pmc/articles/PMC4587312/ /pubmed/26478652 http://dx.doi.org/10.1016/j.exmath.2013.01.004 Text en © 2013 Elsevier GmbH. https://creativecommons.org/licenses/by-nc-nd/3.0/This is an open access article under the CC BY NC ND license (https://creativecommons.org/licenses/by-nc-nd/3.0/).
spellingShingle Article
Aparicio Monforte, Ainhoa
Kauers, Manuel
Formal Laurent series in several variables
title Formal Laurent series in several variables
title_full Formal Laurent series in several variables
title_fullStr Formal Laurent series in several variables
title_full_unstemmed Formal Laurent series in several variables
title_short Formal Laurent series in several variables
title_sort formal laurent series in several variables
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4587312/
https://www.ncbi.nlm.nih.gov/pubmed/26478652
http://dx.doi.org/10.1016/j.exmath.2013.01.004
work_keys_str_mv AT apariciomonforteainhoa formallaurentseriesinseveralvariables
AT kauersmanuel formallaurentseriesinseveralvariables

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