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Derivation of Higher Order and Commutativity on Prime Rings(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2001年05期
Page:
554-556
Research Field:
Publishing date:

Info

Title:
Derivation of Higher Order and Commutativity on Prime Rings
Author(s):
YeYoupei
School of Computer Science and Technology,NUST,Nanjing 210094
Keywords:
prime rings derivation commutat ivity
PACS:
O153.3
DOI:
-
Abstract:
In this paper, it has proved that Let R be a Prime ring and I be a nonzero right ideal of R . If D is a derivat ion of R such that x D n ( x ) - D n ( x ) is in the center of R for every x in I , where n is some posit ive integ er, then either D( Z) = 0 or R is commutative, w here Z is the center of R .

References:

1 Posner E1 Perivation in prime r ings1Pro c Amer Math Soc, 1957, 8: 1 093~ 1 100
2 Mayne J. Centralizing antomorphisms of prime rings. Canada Math Bull, 1976, 19( 1) : 113~ 115
3 Mayne J. I deals and centr alizing mappings in prime rings. Pro c Amer Math Soc, 1982, 86: 211~212
4 Bell H E, Martindale W S1 Centralizing mapping of semipime r ings. Canada Math Bull, 1987, 30( 1) : 92~ 101
5 Mayne J1 Centralizing mappings o f prime rings. Canada Math Bull, 1984, 27( 1) : 200~ 203

Memo

Memo:
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Last Update: 2013-03-25