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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 347 - 375 (29page)
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Let R be a 3!-torsion free noncommutative semiprime ring, U a Lie ideal of R; and let D : R → R be a Jordan derivation. If [D(x), x]D(x) = 0 for all x ∈ U, then D(x)[D(x), x]y - yD(x)[D(x), x] = 0 for all x, y ∈ U. And also. if D(x)[D(x), x] = 0 for all x ∈ U, then [D(x), x]D(x)y - y[D(x), x]D(x) = 0 for all x, y ∈ U. And we shall give their applications in Banach algebras.
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참고문헌 (16)
참고문헌 신청
F.F. Bonsall / 1973 / Complete Normed Algebras / Berlin-Heidelberg
M. Bresar / 1994 / Derivations of noncommutative Banach algebras II / Arch. Math 63:56~59
M. Bresar / 1988 / Jordan derivations on semiprime rings / Proc. Amer. Math. Soc 104:1003~1006
L.O. Chung / 1981 / Semiprime rings with nilpotent derivatives / Canad. Math. Bull 24:415~421
B.E. Johnson / 1968 / Continuity of derivations and a problem of Kaplansky / Amer. J. Math 90:1067~1073
M. Bresar / 1994 / Derivations of noncommutative Banach algebras II / Arch. Math 63:56~59
M. Bresar / 1988 / Jordan derivations on semiprime rings / Proc. Amer. Math. Soc 104:1003~1006
L.O. Chung / 1981 / Semiprime rings with nilpotent derivatives / Canad. Math. Bull 24:415~421
B.E. Johnson / 1968 / Continuity of derivations and a problem of Kaplansky / Amer. J. Math 90:1067~1073
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