Vanishing Power Values of Commutators with Derivations on Prime Rings
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.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/582181 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850169288552349696 |
|---|---|
| author | Basudeb Dhara |
| author_facet | Basudeb Dhara |
| author_sort | Basudeb Dhara |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a6b7c6c031514a19bf720af06b52116a |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a6b7c6c031514a19bf720af06b52116a2025-08-20T02:20:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/582181582181Vanishing Power Values of Commutators with Derivations on Prime RingsBasudeb Dhara0Department of Mathematics, Belda College, Belda, Paschim Medinipur 721424 , IndiaLet 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.http://dx.doi.org/10.1155/2009/582181 |
| spellingShingle | Basudeb Dhara Vanishing Power Values of Commutators with Derivations on Prime Rings International Journal of Mathematics and Mathematical Sciences |
| title | Vanishing Power Values of Commutators with Derivations on Prime Rings |
| title_full | Vanishing Power Values of Commutators with Derivations on Prime Rings |
| title_fullStr | Vanishing Power Values of Commutators with Derivations on Prime Rings |
| title_full_unstemmed | Vanishing Power Values of Commutators with Derivations on Prime Rings |
| title_short | Vanishing Power Values of Commutators with Derivations on Prime Rings |
| title_sort | vanishing power values of commutators with derivations on prime rings |
| url | http://dx.doi.org/10.1155/2009/582181 |
| work_keys_str_mv | AT basudebdhara vanishingpowervaluesofcommutatorswithderivationsonprimerings |