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MULTIPLICATIVE GENERALIZED DERIVATIONS ON LIE IDEALS IN SEMIPRIME RINGS II.
- Source :
-
Miskolc Mathematical Notes . 2017, Vol. 18 Issue 1, p265-276. 12p. - Publication Year :
- 2017
-
Abstract
- Let R be a semiprime ring and L is a Lie ideal of R such that LZ(R). A map F:R⋺R is called a multiplicative generalized derivation if there exists a map d:R⋺R such that F(xy)=F(x)y+xd(y), for all x,y∈R. In the present paper, we shall prove that d is a commuting map on L if any one of the following holds: i) F(uv)=±uv, ii) F(uv)=±vu, iii) F(u)F(v)=±uv, iv) F(u)F(v)=±vu, v) F(u)F(v)±uv∈Z, vi) F(u)F(v)±vu∈Z, vii) [F(u),v]±[u,G(v)]=0, for all u,v∈L. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 18
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 123826549
- Full Text :
- https://doi.org/10.18514/MMN.2017.1528