| Issue |
ITM Web Conf.
Volume 20, 2018
International Conference on Mathematics (ICM 2018) Recent Advances in Algebra, Numerical Analysis, Applied Analysis and Statistics
|
|
|---|---|---|
| Article Number | 01002 | |
| Number of page(s) | 9 | |
| Section | Algebra | |
| DOI | https://doi.org/10.1051/itmconf/20182001002 | |
| Published online | 12 October 2018 | |
Some strange behaviors of the power series ring R[[X]]
Fractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
*
Corresponding author: phanthanhtoan@tdtu.edu.vn
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].
© The Authors, published by EDP Sciences, 2018
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