논문KCI 등재
On the Sum of Two Radical Classes
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Abstract
Let } 1; }2 be the radical classes of rings. Y. Lee and R. E. Propes have defined their sum by } 1 + } 2 = fR 2 ! :} 1(R) + } 2(R) = Rg: They have shown that} 1 + } 2 is not a radical class in general. In this paper, a few results of Lee and Propesare generalized and also new conditions are investigated under which this sum becomes a radical class.
관련 논문AI추천
A Note on the Extended Sum of Radical Classes of RingsM. Aslam, M. Zulfiqar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호The Sum of Two Radical Classes of HemiringsMuhammad Zulfiqar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제3호A generalization of the Jacobson radicalA. H. Yamini, A. R. Naghipour대한수학회 · 대한수학회보2004 · 제41권 제4호On class algebras이혜숙, 최은미대한수학회 · 대한수학회지2003 · 제40권 제2호Notes on Chain Rings and RadicalsDagva Dayantsolmon, Sodnomkhorloo Tumurbat, Tumenbayar Khulan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제3호Rings whose prime radicals are completely primeByung-Ok Kim, Kwang-Ho Kang, Sang-Jig Nam, Su-Ho Sohn대한수학회 · 대한수학회논문집2005 · 제20권 제3호
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