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Duo Property Applied to Powers and Regular Elements

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The object of this article is to initiate the study of a class of rings in which the right duo property is applied in relation to powers of elements and the monoid of all regular elements.Such rings shall be called right exp-DR.We investigate the structures of group rings,right quotient rings,matrix rings and(skew)polynomial rings,through the study of right exp-DR rings.In addition,we provide a method of constructing finite non-abelian p-groups for any prime p.

right(exp-)DR ringregular element(weakly)right duo ringright quotient ringgroup ring

Tai Keun Kwak、Yang Lee、Zhelin Piao、Yeonsook Seo

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Department of Mathematics,Daejin University,Pocheon 11159,Korea

Department of Mathematics,Yanbian University,Yanji,Jilin 133002,China

Institute of Basic Science,Daejin University,Pocheon 11159,Korea

Department of Mathematics,Pusan National University,Busan 46241,Korea

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2023

代数集刊(英文版)

代数集刊(英文版)

CSCD北大核心
ISSN:1005-3867
年,卷(期):2023.30(1)
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