Mousavi, Hamed and Padashnik, Farzad and Asloob Topaçoğlu, Ayesha (2022) On reduced archimedean skew power series rings. Journal of Algebra and Its Applications, 21 (3). ISSN 0219-4988 (Print) 1793-6829 (Online)
This is the latest version of this item.
Official URL: https://dx.doi.org/10.1142/S0219498822500426
Abstract
In this paper, we prove that if R is an Archimedean reduced ring and satisfy ACC on annihilators, then R[[x]] is also an Archimedean reduced ring. More generally, we prove that if R is a right Archimedean ring satisfying the ACC on annihilators and α is a rigid automorphism of R, then the skew power series ring R[[x; α]] is right Archimedean reduced ring. We also provide some examples to justify the assumptions we made to obtain the required result.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Annihilator; Ascending chain conditions for principal one-sided ideals; Generalized power series rings; Ordered monoids; Right (or left) Archimedean ring; Skew power series ring |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ayesha Asloob Topaçoğlu |
| Date Deposited: | 31 Aug 2022 17:44 |
| Last Modified: | 31 Aug 2022 17:44 |
| URI: | https://research.sabanciuniv.edu/id/eprint/43588 |
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On reduced archimedean skew power series rings. (deposited 20 Feb 2021 18:45)
- On reduced archimedean skew power series rings. (deposited 31 Aug 2022 17:44) [Currently Displayed]
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