대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제34권1호
  • /
  • Pages.127-136
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  • 2019
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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NORMALITY ON JACOBSON AND NIL RADICALS

  • Kim, Dong Hwa (Department of Mathematics Education Pusan National University) ;
  • Yun, Sang Jo (Department of Mathematics Dong-A University)
  • 투고 : 2018.03.06
  • 심사 : 2018.05.18
  • 발행 : 2019.01.31
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초록

This article concerns the normal property of elements on Jacobson and nil radicals which are generalizations of commutativity. A ring is said to be right njr if it satisfies the normal property on the Jacobson radical. Similarly a ring is said to be right nunr (resp., right nlnr) if it satisfies the normal property on the upper (resp., lower) nilradical. We investigate the relations between right duo property and the normality on Jacobson (nil) radicals. Related examples are investigated in the procedure of studying the structures of right njr, nunr, and nlnr rings.

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과제정보

연구 과제 주관 기관 : Pusan National University

참고문헌

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