Products of derivations which act as Lie derivations on commutators of right ideals
Let R be a prime ring of characteristic different from 2, I a nonzero right ideal of R, d and δ nonzero derivations of R, and s4(x1,x2,x3,x4) the standard identity of degree 4. If the composition (dδ) is a Lie derivation of [I,I] into R, then either s4(I,I,I,I)I=0 or δ(I)I=d(I)I=0.
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/53145 |
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| author | V. De Filippis |
| author_facet | V. De Filippis |
| author_sort | V. De Filippis |
| collection | DOAJ |
| description | Let R be a prime ring of characteristic different from 2, I a nonzero right ideal of R, d and δ nonzero derivations of R, and s4(x1,x2,x3,x4) the standard identity of degree 4. If the composition (dδ) is a Lie derivation of [I,I] into R, then either s4(I,I,I,I)I=0 or δ(I)I=d(I)I=0. |
| format | Article |
| id | doaj-art-e62a7f0de5734c9c896c0837fbecb108 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e62a7f0de5734c9c896c0837fbecb1082025-02-03T06:00:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5314553145Products of derivations which act as Lie derivations on commutators of right idealsV. De Filippis0Dipartimento di Matematica, Universitá di Messina, Salita Sperone 31, Messina 98166, ItalyLet R be a prime ring of characteristic different from 2, I a nonzero right ideal of R, d and δ nonzero derivations of R, and s4(x1,x2,x3,x4) the standard identity of degree 4. If the composition (dδ) is a Lie derivation of [I,I] into R, then either s4(I,I,I,I)I=0 or δ(I)I=d(I)I=0.http://dx.doi.org/10.1155/IJMMS/2006/53145 |
| spellingShingle | V. De Filippis Products of derivations which act as Lie derivations on commutators of right ideals International Journal of Mathematics and Mathematical Sciences |
| title | Products of derivations which act as Lie derivations on
commutators of right ideals |
| title_full | Products of derivations which act as Lie derivations on
commutators of right ideals |
| title_fullStr | Products of derivations which act as Lie derivations on
commutators of right ideals |
| title_full_unstemmed | Products of derivations which act as Lie derivations on
commutators of right ideals |
| title_short | Products of derivations which act as Lie derivations on
commutators of right ideals |
| title_sort | products of derivations which act as lie derivations on commutators of right ideals |
| url | http://dx.doi.org/10.1155/IJMMS/2006/53145 |
| work_keys_str_mv | AT vdefilippis productsofderivationswhichactasliederivationsoncommutatorsofrightideals |