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초록· 키워드
오류제보하기
Let R be a prime ring, I a nonzero ideal of R, d a
derivation of R and n a fixed positive integer. (i) If
(d(x)y+xd(y)+d(y)x+yd(x))^{n}=xy+yx for all x,y∈ I, then R
is commutative. (ii) If charR≠2 and
(d(x)y+xd(y)+d(y)x+yd(x))^{n}-(xy+yx) is central for all x,y ∈ I, then R is commutative. We also examine the case where
R is a semiprime ring.
목차
등록된 정보가 없습니다.
참고문헌 (13)
참고문헌 신청
C. Faith / 1967 / Lecture on Injective Modules and Quotient Rings, Lecture Notes in Mathematics / Springer-Verlag
C. L. Chuang / 1988 / GPIs having coefficients in Utumi quotient rings / Proc. Amer. Math. Soc. 103 (3) : 723 ~ 728
C. L. Chuang / 1994 / Hypercentral derivations / J. Algebra 166 (1) : 39 ~ 71
C. Lanski / 1993 / An Engel condition with derivation / Proc. Amer. Math. Soc. 118 (3) : 731 ~ 734
J. Lambek / 1966 / Lecture on Rings and Modules, With an appendix / Waltham, Mass.
C. L. Chuang / 1988 / GPIs having coefficients in Utumi quotient rings / Proc. Amer. Math. Soc. 103 (3) : 723 ~ 728
C. L. Chuang / 1994 / Hypercentral derivations / J. Algebra 166 (1) : 39 ~ 71
C. Lanski / 1993 / An Engel condition with derivation / Proc. Amer. Math. Soc. 118 (3) : 731 ~ 734
J. Lambek / 1966 / Lecture on Rings and Modules, With an appendix / Waltham, Mass.
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