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Centralizing and Commuting Left Generalized Derivations on Prime Rings

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Abstract:

Let R be a prime ring and d a derivation on R. If is a left generalized derivation on R such that ƒ is centralizing on a left ideal U of R, then R is commutative.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 11)
Pages:
1-3
DOI:
https://doi.org/10.18052/www.scipress.com/BMSA.11.1
Citation:
C. J. Subba Reddy et al., "Centralizing and Commuting Left Generalized Derivations on Prime Rings", Bulletin of Mathematical Sciences and Applications, Vol. 11, pp. 1-3, 2015
Online since:
Feb 2015
Authors:
C. Jaya Subba Reddy, S. Mallikarjuna Rao, V. Vijaya Kumar
Keywords:
Centralizing, Commuting, Derivations, Generalized Derivation, Left Derivation, Left Generalized Derivation, Prime Ring
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

H.E. Bell and W.S. Martindale, III Centralizing mapping of semiprime rings, Cand. Math. Bull. 30(1987) 92-101.

M. Bresar, Centralizing mappings and derivations in prime rings, J. Algebra 156(193)35-394.

B. Hvala, Generalized derivation in rings, Comm. Algebra, 26(4)(1998), 1147-1166.

J.H. Mayne, Centralizing mappings of prime rings, Cand. Math. Bull., 27(1)(1984), 122-126.

Asif Ali and Tariq shah, centralizing and commuting genoralized derivation on prime rings, MATHYKM BECHNK 60(2008), 1-2.

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