Some strange behaviors of the power series ring R[[X]]
Let R be a commutative ring with identity. Let R[X] and R[[X]] be the polynomial ring and the power series ring respectively over R. Being the completion of R[X] (under the X-adic topology), R[[X]] does not always share the same property with R[X]. In this paper, we present some known strange behavi...
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EDP Sciences
2018-01-01
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| Series: | ITM Web of Conferences |
| Online Access: | https://doi.org/10.1051/itmconf/20182001002 |
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doaj-1c769f4157d444488982c8ca1eb0b7382021-03-02T10:40:28ZengEDP SciencesITM Web of Conferences2271-20972018-01-01200100210.1051/itmconf/20182001002itmconf_icm2018_01002Some strange behaviors of the power series ring R[[X]]Phan Thanh ToanLet R be a commutative ring with identity. Let R[X] and R[[X]] be the polynomial ring and the power series ring respectively over R. Being the completion of R[X] (under the X-adic topology), R[[X]] does not always share the same property with R[X]. In this paper, we present some known strange behaviors of R[[X]] compared to those of R[X].https://doi.org/10.1051/itmconf/20182001002 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Phan Thanh Toan |
| spellingShingle |
Phan Thanh Toan Some strange behaviors of the power series ring R[[X]] ITM Web of Conferences |
| author_facet |
Phan Thanh Toan |
| author_sort |
Phan Thanh Toan |
| title |
Some strange behaviors of the power series ring R[[X]] |
| title_short |
Some strange behaviors of the power series ring R[[X]] |
| title_full |
Some strange behaviors of the power series ring R[[X]] |
| title_fullStr |
Some strange behaviors of the power series ring R[[X]] |
| title_full_unstemmed |
Some strange behaviors of the power series ring R[[X]] |
| title_sort |
some strange behaviors of the power series ring r[[x]] |
| publisher |
EDP Sciences |
| series |
ITM Web of Conferences |
| issn |
2271-2097 |
| publishDate |
2018-01-01 |
| description |
Let R be a commutative ring with identity. Let R[X] and R[[X]] be the polynomial ring and the power series ring respectively over R. Being the completion of R[X] (under the X-adic topology), R[[X]] does not always share the same property with R[X]. In this paper, we present some known strange behaviors of R[[X]] compared to those of R[X]. |
| url |
https://doi.org/10.1051/itmconf/20182001002 |
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AT phanthanhtoan somestrangebehaviorsofthepowerseriesringrx |
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