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STRUCTURES CONCERNING GROUP OF UNITS

이양|정영우
대한수학회 (The Korean Mathematical Society)|2017.01|대한수학회지 (Journal of the KMS)|제54권 제1호|pp. 177-191

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참고문헌

키워드

Jacobson radicalgroup ringAbelian ringright duo ringnilpotent elementweakly right duo ring$\pi$-regular ringgroup of unitsweakly right unit-duo ringright unit-duo ring
주제분류수학

초록

In this note we consider the right unit-duo ring property on the powers of elements, and introduce the concept of {\it weakly right unit-duo} ring. We investigate first the properties of weakly right unit-duo rings which are useful to the study of related studies. We observe next various kinds of relations and examples of weakly right unit-duo rings which do roles in ring theory.

Abstract

In this note we consider the right unit-duo ring property on the powers of elements, and introduce the concept of {\it weakly right unit-duo} ring. We investigate first the properties of weakly right unit-duo rings which are useful to the study of related studies. We observe next various kinds of relations and examples of weakly right unit-duo rings which do roles in ring theory.

참고문헌 (28)

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관련 논문AI추천

DUO RING PROPERTY RESTRICTED TO GROUPS OF UNITS이양, 박상원, 한준철대한수학회 · 대한수학회지2015 · 제52권 제3호Nilpotent-duo property on powers김동화대한수학회 · 대한수학회논문집2018 · 제33권 제4호On weakly left quasi-commutative rings김동화, 윤상조, Zhelin Piao대한수학회 · 대한수학회논문집2017 · 제32권 제3호On a generalization of right duo rings이양, 곽태근, 김남균대한수학회 · 대한수학회보2016 · 제53권 제3호Units, nilpotent elements, and unit-IFP rings박상원, 윤상조대한수학회 · 대한수학회보2018 · 제55권 제5호Structure of unit-IFP rings이양대한수학회 · 대한수학회지2018 · 제55권 제5호

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