title
  

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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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
ID Code:41308
Deposited By:Ayesha Asloob Qureshi
Deposited On:20 Feb 2021 18:45
Last Modified:20 Feb 2021 18:45

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