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

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1142/S0219498822500426


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

Repository Staff Only: item control page