On skew polynomial rings over locally nilpotent rings

Fei Yu Chen; Hannah Hagan; Allison Wang

doi:10.1080/00927872.2018.1499929

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On skew polynomial rings over locally nilpotent rings

Fei Yu Chen Hannah Hagan Allison Wang

Year: 2018 Journal: Communications in Algebra Vol: 47 (3)Pages: 1102-1104 Publisher: Taylor & Francis

DOI: 10.1080/00927872.2018.1499929

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Abstract

We will show that skew polynomial rings in several variables over locally nilpotent rings cannot contain nonzero idempotent elements. We will also prove that such rings are Brown–McCoy radical.

Keywords:

Mathematics Skew Polynomial ring Nilpotent Locally nilpotent Pure mathematics Polynomial Combinatorics Nilpotent group Mathematical analysis Computer science

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Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

On skew polynomial rings over locally nilpotent rings

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