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A Note on the Extended Sum of Radical Classes of Rings
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Abstract
The concept of the sum of radical classes of rings was introduced by Y. L.Lee and R. E. Propes ([6]), and further extended by R. E. Propes and A. M. Zaidi in [7] as the extended sum of the two radical classes. In this paper, we develop a relationship between these sums and show that the two concepts coincide when the sum is a radical class and also generalize several results of [7].
참고문헌 (9)
- "Matrix equation in radicals", 28, pp.447~452 (1993)
- "A First Course in Rings and Ideals", new york (1970)
- "On the construction of lower radical properties", 19, pp.1165~1166 (1968)
- "On the construction of lower radical properties", 28, pp.393~395 (1969)
- "On intersections and unions of radical classes", 13, pp.354~356 (1972)
- Y. Lee, "The sum of two radical classes", 13, pp.81~86 (1973)
- "The extended sum of two radical classes", 16, pp.49~52 (1976)
- "On hereditary radicals", 3, pp.235~241 (1973)
- "On the sum of two radical classes", 43, pp.495~497 (2003)
관련 논문AI추천
The Sum of Two Radical Classes of HemiringsMuhammad Zulfiqar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제3호On the Sum of Two Radical ClassesM. Aslam, M.Zulfiqar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호Notes on Chain Rings and RadicalsDagva Dayantsolmon, Sodnomkhorloo Tumurbat, Tumenbayar Khulan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제3호A note on lower radicals of hemiringsMuhammad Zulfiqar대한수학회 · 대한수학회보2008 · 제45권 제4호A generalization of the Jacobson radicalA. H. Yamini, A. R. Naghipour대한수학회 · 대한수학회보2004 · 제41권 제4호Rings whose prime radicals are completely primeByung-Ok Kim, Kwang-Ho Kang, Sang-Jig Nam, Su-Ho Sohn대한수학회 · 대한수학회논문집2005 · 제20권 제3호
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