ScholarWorks@경상국립대학교

초록

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.

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