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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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doaj-88566cb38c01452c8c718926fb6ba9f62020-11-24T21:03:18ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
H. E. Bell M. N. Daif |
| spellingShingle |
H. E. Bell M. N. Daif On Maps of Period 2 on Prime and Semiprime Rings International Journal of Mathematics and Mathematical Sciences |
| author_facet |
H. E. Bell M. N. Daif |
| author_sort |
H. E. Bell |
| title |
On Maps of Period 2 on Prime and Semiprime Rings |
| title_short |
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_sort |
on maps of period 2 on prime and semiprime rings |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2014-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2014/140790 |
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AT hebell onmapsofperiod2onprimeandsemiprimerings AT mndaif onmapsofperiod2onprimeandsemiprimerings |
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