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2-PRIME IDEALS AND 2-PRIME RINGS
- Authors
- Kim, Hong Kee
- Issue Date
- May-2021
- Publisher
- Pushpa Publishing House
- Keywords
- prime ring; 2-prime ring; polynomial ring; matrix ring
- Citation
- JP Journal of Algebra, Number Theory and Applications, v.50, no.2, pp 137 - 149
- Pages
- 13
- Indexed
- ESCI
- Journal Title
- JP Journal of Algebra, Number Theory and Applications
- Volume
- 50
- Number
- 2
- Start Page
- 137
- End Page
- 149
- ISSN
- 0972-5555
- Abstract
- 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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