The purpose of this note is to provide properties of a 2-prime ring, by investigating the structure of a class of 2-prime rings related to a prime ring. Introducing the concept of a 2-prime ideal for the purpose, in relation with prime ideal, we first study the relation between a 2-prime ideal and a prime ideal. It is found that the properties of a 2-prime ring need not pass onto a polynomial ring over 2-prime ring.

prime ring, 2-prime ring, polynomial ring, matrix ring.

Received: February 24, 2021; Accepted: April 10, 2021; Published: April 28, 2021

How to cite this article: Hong Kee Kim, 2-prime ideals and 2-prime rings, JP Journal of Algebra, Number Theory and Applications 50(2) (2021), 137-149. DOI: 10.17654/NT050010137

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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