Some studies on 2-primal rings, (S,1)-rings and the condition (KJ)

Manabu Matsuoka

doi:10.4134/CKMS.2010.25.3.343

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2010; 25(3): 343-347

Printed September 1, 2010

https://doi.org/10.4134/CKMS.2010.25.3.343

Some studies on 2-primal rings, (S,1)-rings and the condition (KJ)

Manabu Matsuoka

Hyogo University of Teacher Education

Abstract

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Abstract

In this paper we study the connection between 2-primal rings, (S,1)-rings and related conditions. And we investigate some condition which is the special case of pseudo symmetric. We also study the condition (KJ) which is given by J. Y. Kim and H. L. Jin. We introduce some condition and we prove that our condition is equivalent to the condition (KJ) when it is an (S,1)-ring.

Keywords: 2-primal rings, (S,1)-rings, condition (KJ)

MSC numbers: Primary 16D25