On reduced archimedean skew power series rings

Author:

Mousavi Hamed1,Padashnik Farzad2,Qureshi Ayesha Asloob3

Affiliation:

1. Mathematics Department, Georgia Institute of Technology, 686 Cherry Street NW, Atlanta, Georgia 30313, US

2. Department of Pure Mathematics, Faculty of Mathematical Sciences, Isfahan University, Isfahan, Iran

3. Faculty of Engineering and Natural Sciences, Sabancı University, Orta Mahalle, Tuzla 34956, Istanbul, Turkey

Abstract

In this paper, we prove that if [Formula: see text] is an Archimedean reduced ring and satisfy ACC on annihilators, then [Formula: see text] is also an Archimedean reduced ring. More generally, we prove that if [Formula: see text] is a right Archimedean ring satisfying the ACC on annihilators and [Formula: see text] is a rigid automorphism of [Formula: see text], then the skew power series ring [Formula: see text] is right Archimedean reduced ring. We also provide some examples to justify the assumptions we made to obtain the required result.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Reduced Archimedean skew polynomial rings and skew power series rings;Journal of Pure and Applied Algebra;2021-10

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