Derivations of higher order in semiprime rings
Let R be a 2-torsion free semiprime ring with derivation d. Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free or if R is an inner derivation of R, then d2n−1=0.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000106 |
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| _version_ | 1832563921478746112 |
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| author | Jiang Luh Youpei Ye |
| author_facet | Jiang Luh Youpei Ye |
| author_sort | Jiang Luh |
| collection | DOAJ |
| description | Let R be a 2-torsion free semiprime ring with derivation d. Supposed d2n
is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free
or if R is an inner derivation of R, then d2n−1=0. |
| format | Article |
| id | doaj-art-73b783b3095e4bce97d41bebf20a2beb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-73b783b3095e4bce97d41bebf20a2beb2025-02-03T01:12:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-01211899210.1155/S0161171298000106Derivations of higher order in semiprime ringsJiang Luh0Youpei Ye1Department of Mathematics, North Carolina State University, Raleigh 27695-8205, NC, USADepartment of Computer Science, Nanjing University of Science and Technology, Nanjing, ChinaLet R be a 2-torsion free semiprime ring with derivation d. Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free or if R is an inner derivation of R, then d2n−1=0.http://dx.doi.org/10.1155/S0161171298000106Derivationsemiprime ringnilpotent derivation. |
| spellingShingle | Jiang Luh Youpei Ye Derivations of higher order in semiprime rings International Journal of Mathematics and Mathematical Sciences Derivation semiprime ring nilpotent derivation. |
| title | Derivations of higher order in semiprime rings |
| title_full | Derivations of higher order in semiprime rings |
| title_fullStr | Derivations of higher order in semiprime rings |
| title_full_unstemmed | Derivations of higher order in semiprime rings |
| title_short | Derivations of higher order in semiprime rings |
| title_sort | derivations of higher order in semiprime rings |
| topic | Derivation semiprime ring nilpotent derivation. |
| url | http://dx.doi.org/10.1155/S0161171298000106 |
| work_keys_str_mv | AT jiangluh derivationsofhigherorderinsemiprimerings AT youpeiye derivationsofhigherorderinsemiprimerings |