Volume : V, Issue : X, October - 2015

SIMPLICITY OF GROUP RINGS AND IDEALS OF RG

Sushma Saini

Abstract :

The group ring RG of a group G over a commutative unital ring R is an interesting object of study for both group theory and ring theory [4]. Tahara [3] defines on integral group ring ZG to be simple if and only if I is an ideal of ZG, then G (1+I)=1 or G. We propose to call such a group ring Tahara–simple. We generalize this definition

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Article: Download PDF   DOI : 10.36106/ijar  

Cite This Article:

SUSHMA SAINI Simplicity of Group Rings and Ideals of RG Indian Journal of Applied Research, Vol.5, Issue : 10 October 2015

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