한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제25권3호
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  • Pages.181-191
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  • 2018
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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A REMARK ON GENERALIZED DERIVATIONS IN RINGS AND ALGEBRAS

  • 투고 : 2017.12.30
  • 심사 : 2018.07.05
  • 발행 : 2018.08.31
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초록

In the present paper, we investigate the action of generalized derivation G associated with a derivation g in a (semi-) prime ring R satisfying $(G([x,y])-[G(x),y])^n=0$ for all x, $y{\in}I$, a nonzero ideal of R, where n is a fixed positive integer. Moreover, we also examine the above identity in Banach algebras.

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참고문헌

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