Mousavi, Hamed and Padashnik, Farzad and Asloob Qureshi, Ayesha (2020) On reduced archimedean skew power series rings. Journal of Algebra and Its Applications . ISSN 0219-4988 (Print) 1793-6829 (Online) Published Online First http://dx.doi.org/10.1142/S0219498822500426
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Official URL: http://dx.doi.org/10.1142/S0219498822500426
Abstract
In this paper, we prove that if R is an Arc himedean reduced ring and satisfy ACC onannihilators, then R[[x]] is also an Archimedean reduced ring. More generally, we provethat if R is a right Archimedean ring satisfying the ACC on annihilators and α is arigid automorphism of R, then the skew pow er series ring R[[x; α]] is right Archimedeanreduced ring. We also provide some examples to justify the assumptions we made toobtain the required result.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA150-272.5 Algebra |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Ayesha Asloob Topaçoğlu |
| Date Deposited: | 20 Feb 2021 18:45 |
| Last Modified: | 20 Feb 2021 18:45 |
| URI: | https://research.sabanciuniv.edu/id/eprint/41308 |
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- On reduced archimedean skew power series rings. (deposited 20 Feb 2021 18:45) [Currently Displayed]
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