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Derivations with annihilator conditions on Lie ideals in prime rings
- Source :
- Journal of Algebra and Its Applications. 19:2050025
- Publication Year :
- 2019
- Publisher :
- World Scientific Pub Co Pte Lt, 2019.
-
Abstract
- Let [Formula: see text] be a prime ring with characteristic different from two, [Formula: see text] a derivation of [Formula: see text], [Formula: see text] a noncentral Lie ideal of [Formula: see text], and [Formula: see text]. In the present paper, it is shown that if one of the following conditions holds: (i) [Formula: see text], (ii) [Formula: see text], (iii) [Formula: see text] and (iv) [Formula: see text] for all [Formula: see text], where [Formula: see text] are fixed positive integers, then [Formula: see text] unless [Formula: see text] satisfies [Formula: see text], the standard polynomial identity in four variables.
- Subjects :
- Pure mathematics
Algebra and Number Theory
Applied Mathematics
010102 general mathematics
010103 numerical & computational mathematics
01 natural sciences
Prime (order theory)
Annihilator
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
Prime ring
ComputingMethodologies_DOCUMENTANDTEXTPROCESSING
Ideal (order theory)
0101 mathematics
ComputingMilieux_MISCELLANEOUS
Mathematics
Subjects
Details
- ISSN :
- 17936829 and 02194988
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- Journal of Algebra and Its Applications
- Accession number :
- edsair.doi...........7f2f36545417061aef3fdcd378b36887