Korean J. Math. Vol. 24 No. 4 (2016) pp.737-750
DOI: https://doi.org/10.11568/kjm.2016.24.4.737

Abelian property concerning factorization modulo radicals

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Published: Dec 30, 2016
Keywords:
idempotent, Abelian ring, factor ring, lower nilradical, upper nilradical, Jacobson radical.
Mathematics Subject Classification:
16D25, 16N40, 16N20

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Dong Hyeon Chae
Department of Mathematics Pusan Science High School Pusan 46235, Korea
Jeong Min Choi
Department of Mathematics Pusan Science High School Pusan 46235, Korea
Dong Hyun Kim
Department of Mathematics Pusan Science High School Pusan 46235, Korea
Jae Eui Kim
Department of Mathematics Pusan Science High School Pusan 46235, Korea
Jae Min Kim
Department of Mathematics Pusan Science High School Pusan 46235, Korea
Tae Hyeong Kim
Department of Mathematics Pusan Science High School Pusan 46235, Korea
Ji Young Lee
Department of Mathematics Pusan Science High School Pusan 46235, Korea
Yang Lee
Department of Mathematics Pusan National University Pusan 46241, Korea
You Sun Lee
Department of Mathematics Pusan Science High School Pusan 46235, Korea
Jin Hwan Noh
Department of Mathematics Pusan Science High School Pusan 46235, Korea
Sung Ju Ryu
Department of Mathematics Pusan National University Pusan 46241, Korea

Abstract

In this note we describe some classes of rings in relation to Abelian property of factorizations by nilradicals and Jacobson radical. The ring theoretical structures are investigated for various sorts of such factor rings which occur in the process.


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Supporting Agencies

This study was supported by the R$\&$E Program of Pusan Science High School in 2016.

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