On the R-automorphisms of formal power series on several indeterminates and with coefficients over the ring R
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | Spanish |
| Published: |
Universidad Nacional de Trujillo
2022-07-01
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| Series: | Selecciones Matemáticas |
| Subjects: | |
| Online Access: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4461 |
| _version_ | 1818000836166418432 |
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| author | Soledad Ramírez C. Anderson Cárdenas F. |
| author_facet | Soledad Ramírez C. Anderson Cárdenas F. |
| author_sort | Soledad Ramírez C. |
| collection | DOAJ |
| 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]. |
| first_indexed | 2024-04-14T03:26:53Z |
| format | Article |
| id | doaj.art-09ad3e1f97a6468b97e700cddc2e949e |
| institution | Directory Open Access Journal |
| issn | 2411-1783 |
| language | Spanish |
| last_indexed | 2024-04-14T03:26:53Z |
| publishDate | 2022-07-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj.art-09ad3e1f97a6468b97e700cddc2e949e2022-12-22T02:15:07ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832022-07-0190121022610.17268/sel.mat.2022.01.18On the R-automorphisms of formal power series on several indeterminates and with coefficients over the ring RSoledad Ramírez C.0https://orcid.org/0000-0002-9974-0943Anderson Cárdenas F.1https://orcid.org/0000-0002-6313-4474Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Av. German Amézaga s/n, Lima, Perú.Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Av. German Amézaga s/n, Lima, Perú.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].https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4461automorphismendomorphismi-adic topologytopological ringformal power series |
| spellingShingle | Soledad Ramírez C. Anderson Cárdenas F. On the R-automorphisms of formal power series on several indeterminates and with coefficients over the ring R Selecciones Matemáticas automorphism endomorphism i-adic topology topological ring formal power series |
| title | 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_short | 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 |
| topic | automorphism endomorphism i-adic topology topological ring formal power series |
| url | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4461 |
| work_keys_str_mv | AT soledadramirezc ontherautomorphismsofformalpowerseriesonseveralindeterminatesandwithcoefficientsovertheringr AT andersoncardenasf ontherautomorphismsofformalpowerseriesonseveralindeterminatesandwithcoefficientsovertheringr |