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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 355 - 362 (8page)
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초록· 키워드
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In this note, we extend the Bre·sar and Vukman's result [1, Proposition 1.6], which is well-known, to higher left derivations as follows: let R be a ring. (i)Under a certain condition, the existence of a nonzero higher left derivation implies that R is commutative. (ii) if R is semiprime, every higher left derivation on R is a higher derivation which maps R into its center.
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참고문헌 (5)
참고문헌 신청
C. Haetinger / 2002 / Higher derivations on Lie ideals / Tendencias em Matematica Aplicada e Computacional 3 (1) : 141 ~ 145
M. Bresar / 1990 / On left derivations and related mappings / Proc. Amer. Math. Soc 10 : 7 ~ 16
M. Ferrero / 2002 / Higher derivations and a theorem by Herstein / Quaestiones Mathematicae 25 (2) : 249 ~ 257
M. Ferrero / 2002 / Higher derivations of semiprime rings / Communications in Algebra 30 (5) : 2321 ~ 2333
P. Ribenboim / 1980 / Higher order derivations of modules / Portgaliae Math 39 : 381 ~ 397
M. Bresar / 1990 / On left derivations and related mappings / Proc. Amer. Math. Soc 10 : 7 ~ 16
M. Ferrero / 2002 / Higher derivations and a theorem by Herstein / Quaestiones Mathematicae 25 (2) : 249 ~ 257
M. Ferrero / 2002 / Higher derivations of semiprime rings / Communications in Algebra 30 (5) : 2321 ~ 2333
P. Ribenboim / 1980 / Higher order derivations of modules / Portgaliae Math 39 : 381 ~ 397
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