Korean J. Math. Vol. 23 No. 1 (2015) pp.37-46
DOI: https://doi.org/10.11568/kjm.2015.23.1.37

On semi-IFP rings

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Published: Mar 30, 2015
Keywords:
semi-IFP ring, semiprime ring, IFP ring, reduced ring, polynomial ring.
Mathematics Subject Classification:
16D25, 16S36, 16N40.

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Hyo Jin Sung
Department of Mathematics Pusan National University Pusan 609-735, Korea
Sang Jo Yun
Department of Mathematics Pusan National University Pusan 609-735, Korea

Abstract

We in this note introduce the concept of semi-IFP rings which is a generalization of IFP rings. We study the basic structure of semi-IFP rings, and construct suitable examples to the situations raised naturally in the process. We also show that the semi-IFP does not go up to polynomial rings.


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