On Maps of Period 2 on Prime and Semiprime Rings
A map f of the ring R into itself is of period 2 if f2x=x for all x∈R; involutions are much studied examples. We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized derivations of period 2 on prime and semiprime...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/140790 |
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| _version_ | 1832549449991192576 |
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| author | H. E. Bell M. N. Daif |
| author_facet | H. E. Bell M. N. Daif |
| author_sort | H. E. Bell |
| collection | DOAJ |
| description | A map f of the ring R into itself is of period 2 if f2x=x for all x∈R; involutions are much studied examples. We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized derivations of period 2 on prime and semiprime rings. |
| format | Article |
| id | doaj-art-88566cb38c01452c8c718926fb6ba9f6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-88566cb38c01452c8c718926fb6ba9f62025-02-03T06:11:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/140790140790On Maps of Period 2 on Prime and Semiprime RingsH. E. Bell0M. N. Daif1Department of Mathematics, Brock University, St. Catharines, ON, L2S 3A1, CanadaDepartment of Mathematics, Al-Azhar University, Nasr City, Cairo 11884, EgyptA map f of the ring R into itself is of period 2 if f2x=x for all x∈R; involutions are much studied examples. We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized derivations of period 2 on prime and semiprime rings.http://dx.doi.org/10.1155/2014/140790 |
| spellingShingle | H. E. Bell M. N. Daif On Maps of Period 2 on Prime and Semiprime Rings International Journal of Mathematics and Mathematical Sciences |
| title | On Maps of Period 2 on Prime and Semiprime Rings |
| title_full | On Maps of Period 2 on Prime and Semiprime Rings |
| title_fullStr | On Maps of Period 2 on Prime and Semiprime Rings |
| title_full_unstemmed | On Maps of Period 2 on Prime and Semiprime Rings |
| title_short | On Maps of Period 2 on Prime and Semiprime Rings |
| title_sort | on maps of period 2 on prime and semiprime rings |
| url | http://dx.doi.org/10.1155/2014/140790 |
| work_keys_str_mv | AT hebell onmapsofperiod2onprimeandsemiprimerings AT mndaif onmapsofperiod2onprimeandsemiprimerings |