Vanishing Power Values of Commutators with Derivations on Prime Rings

Author

Dhara, Basudeb

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-01-26

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

Let R be a prime ring of char R≠2, d a nonzero derivation of R and ρ a nonzero right ideal of R such that [[d(x),x]n,[y,d(y)]m]t=0 for all x,y∈ρ, where n≥0, m≥0, t≥1 are fixed integers.

If [ρ,ρ]ρ≠0, then d(ρ)ρ=0.

American Psychological Association (APA)

Dhara, Basudeb. 2010. Vanishing Power Values of Commutators with Derivations on Prime Rings. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-482574

Modern Language Association (MLA)

Dhara, Basudeb. Vanishing Power Values of Commutators with Derivations on Prime Rings. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-8.
https://search.emarefa.net/detail/BIM-482574

American Medical Association (AMA)

Dhara, Basudeb. Vanishing Power Values of Commutators with Derivations on Prime Rings. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-482574

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-482574