대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제23권2호
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  • Pages.161-167
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  • 2008
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON POTENT RINGS

  • Li, Bingjun (Department of Mathematics and Systems Science National University of Defense Technology Changsha)
  • 발행 : 2008.04.30
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초록

A ring R is called an $I_0$-ring if each left ideal not contained in the Jacobson radical J(R) contains a non-zero idempotent. If, in addition, idempotents can be lifted modulo J(R), R is called an I-ring or a potent ring. We study whether these properties are inherited by some related rings. Also, we investigate the structure of potent rings.

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참고문헌

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