On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R

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In this paper, we show a way to characterize the R-automorphisms of formal power series on several indeterminates and with coefficients over a commutative ring with identity, R. We show this characterization, as an extension of existing result for the R-automorphisms of the formal power series in an...

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Detalles Bibliográficos
Autores: Ramirez Carrasco, Soledad, Cárdenas Falcón, Anderson
Formato: artículo
Fecha de Publicación:2022
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:español
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/4461
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4461
Nivel de acceso:acceso abierto
Materia:Automorfismo, endomorfismo, topologia I-ádica, anel topológico, série de potências formais.
Automorfismo
endomorfismo
topología I-ádica
anillo topológico
serie de potencias formal
Automorphism
endomorphism
I-adic topology
topological ring
formal power series.
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spelling On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R Sobre los R-automorfismos de series de potencias formales en varias indeterminadas y con coeficientes en el anillo R Sobre os R-automorfismos de séries de potências formais em vários indeterminados e com coeficientes no anel RRamirez Carrasco, SoledadCárdenas Falcón, AndersonAutomorfismo, endomorfismo, topologia I-ádica, anel topológico, série de potências formais.Automorfismoendomorfismotopología I-ádicaanillo topológicoserie de potencias formalAutomorphismendomorphismI-adic topologytopological ringformal power series.In this paper, we show a way to characterize the R-automorphisms of formal power series on several indeterminates and with coefficients over a commutative ring with identity, R. We show this characterization, as an extension of existing result for the R-automorphisms of the formal power series in an indeterminate, given by O’Malley, M. and Wood, C. in [12].En este artículo, mostramos una forma de caracterizar los R-automorfismos de series de potencias formales en varias indeterminadas y con coeficientes en un anillo conmutativo con identidad, R. Mostramos dicha caracterización, como una extensión de un resultado existente para los R-automorfismos de las series de potencias formales en una indeterminada, dado por O’Malley, M. y Wood, C. en [12].National University of Trujillo - Academic Department of Mathematics2022-07-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículo evaluado por paresapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/4461Selecciones Matemáticas; Vol. 9 No. 01 (2022): January - July; 210 - 226Selecciones Matemáticas; Vol. 9 Núm. 01 (2022): Enero - Julio; 210 - 226Selecciones Matemáticas; v. 9 n. 01 (2022): Janeiro - Julho; 210 - 2262411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/4461/4997Derechos de autor 2022 Selecciones Matemáticashttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/44612022-07-27T15:32:31Z
dc.title.none.fl_str_mv On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R
Sobre los R-automorfismos de series de potencias formales en varias indeterminadas y con coeficientes en el anillo R
Sobre os R-automorfismos de séries de potências formais em vários indeterminados e com coeficientes no anel R
title On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R
spellingShingle On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R
Ramirez Carrasco, Soledad
Automorfismo, endomorfismo, topologia I-ádica, anel topológico, série de potências formais.
Automorfismo
endomorfismo
topología I-ádica
anillo topológico
serie de potencias formal
Automorphism
endomorphism
I-adic topology
topological ring
formal power series.
title_short On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R
title_full On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R
title_fullStr On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R
title_full_unstemmed On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R
title_sort On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R
dc.creator.none.fl_str_mv Ramirez Carrasco, Soledad
Cárdenas Falcón, Anderson
author Ramirez Carrasco, Soledad
author_facet Ramirez Carrasco, Soledad
Cárdenas Falcón, Anderson
author_role author
author2 Cárdenas Falcón, Anderson
author2_role author
dc.subject.none.fl_str_mv Automorfismo, endomorfismo, topologia I-ádica, anel topológico, série de potências formais.
Automorfismo
endomorfismo
topología I-ádica
anillo topológico
serie de potencias formal
Automorphism
endomorphism
I-adic topology
topological ring
formal power series.
topic Automorfismo, endomorfismo, topologia I-ádica, anel topológico, série de potências formais.
Automorfismo
endomorfismo
topología I-ádica
anillo topológico
serie de potencias formal
Automorphism
endomorphism
I-adic topology
topological ring
formal power series.
description In this paper, we show a way to characterize the R-automorphisms of formal power series on several indeterminates and with coefficients over a commutative ring with identity, R. We show this characterization, as an extension of existing result for the R-automorphisms of the formal power series in an indeterminate, given by O’Malley, M. and Wood, C. in [12].
publishDate 2022
dc.date.none.fl_str_mv 2022-07-27
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Artículo evaluado por pares
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4461
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4461
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4461/4997
dc.rights.none.fl_str_mv Derechos de autor 2022 Selecciones Matemáticas
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2022 Selecciones Matemáticas
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 9 No. 01 (2022): January - July; 210 - 226
Selecciones Matemáticas; Vol. 9 Núm. 01 (2022): Enero - Julio; 210 - 226
Selecciones Matemáticas; v. 9 n. 01 (2022): Janeiro - Julho; 210 - 226
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1841449177636143104
score 13.102571
On the R−automorphisms of formal power series on several indeterminates and with coefficients over the ring R
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