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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.17 No.4

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HIGHER LEFT DERIVATIONS ON SEMIPRIME RINGS

HIGHER LEFT DERIVATIONS ON SEMIPRIME RINGS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.4, pp.355-362
Park, Kyoo-Hong (Department of Mathematics Education, Seowon University)
Park, Kyoo-Hong. (2010). HIGHER LEFT DERIVATIONS ON SEMIPRIME RINGS. 한국수학교육학회지시리즈B:순수및응용수학, 17(4), 355-362.

Abstract

In this note, we extend the Bresar 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.

keywords
higher left derivations, semiprime rings, center

참고문헌

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(2002). . Tendencias em Matematica Aplicada e Computacional, 3(1), 141-145.

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Ferrero. (2002). . Quaestiones Mathematicae, 25(2), 249-257. 10.2989/16073600209486012.

4.

(1980). . Portgaliae Math., 39, 381-397.

5.

Ferrero, Miguel;Haetinger, Claus. (2002). HIGHER DERIVATIONS OF SEMIPRIME RINGS. Communications in Algebra, 30(5), 2321-2333. 10.1081/AGB-120003471.

한국수학교육학회지시리즈B:순수및응용수학

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