On derivations and commutativity in prime rings
Let R be a prime ring of characteristic different from 2, d a nonzero derivation of R, and I a nonzero right ideal of R such that [[d(x),x],[d(y),y]]=0, for all x,y∈I. We prove that if [I,I]I≠0, then d(I)I=0.
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204403536 |
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| _version_ | 1832551576006295552 |
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| author | Vincenzo De Filippis |
| author_facet | Vincenzo De Filippis |
| author_sort | Vincenzo De Filippis |
| collection | DOAJ |
| description | Let R be a prime ring of characteristic different from 2, d a nonzero derivation of R, and I a nonzero right ideal of
R such that [[d(x),x],[d(y),y]]=0, for all x,y∈I. We
prove that if [I,I]I≠0, then d(I)I=0. |
| format | Article |
| id | doaj-art-00bd120865f64d7490442531910e4321 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-00bd120865f64d7490442531910e43212025-02-03T06:00:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004703859386510.1155/S0161171204403536On derivations and commutativity in prime ringsVincenzo De Filippis0Dipartimento di Matematica, Universitá di Messina, Contrada Papardo, Salita Sperone 31, Messina 98166, ItalyLet R be a prime ring of characteristic different from 2, d a nonzero derivation of R, and I a nonzero right ideal of R such that [[d(x),x],[d(y),y]]=0, for all x,y∈I. We prove that if [I,I]I≠0, then d(I)I=0.http://dx.doi.org/10.1155/S0161171204403536 |
| spellingShingle | Vincenzo De Filippis On derivations and commutativity in prime rings International Journal of Mathematics and Mathematical Sciences |
| title | On derivations and commutativity in prime rings |
| title_full | On derivations and commutativity in prime rings |
| title_fullStr | On derivations and commutativity in prime rings |
| title_full_unstemmed | On derivations and commutativity in prime rings |
| title_short | On derivations and commutativity in prime rings |
| title_sort | on derivations and commutativity in prime rings |
| url | http://dx.doi.org/10.1155/S0161171204403536 |
| work_keys_str_mv | AT vincenzodefilippis onderivationsandcommutativityinprimerings |