On reduced archimedean skew power series rings

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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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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