On structure of certain periodic rings and near-rings
The aim of this work is to study a decomposition theorem for rings satisfying either of the properties xy=xpf(xyx)xq or xy=xpf(yxy)xq, where p=p(x,y),q=q(x,y) are nonnegative integers and f(t)∈tℤ[t] vary with the pair of elements x,y, and further investigate the commutativity of such rings. Other...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200004853 |
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| _version_ | 1832565087775227904 |
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| author | Moharram A. Khan |
| author_facet | Moharram A. Khan |
| author_sort | Moharram A. Khan |
| collection | DOAJ |
| description | The aim of this work is to study a decomposition theorem for rings
satisfying either of the properties xy=xpf(xyx)xq or xy=xpf(yxy)xq, where p=p(x,y),q=q(x,y) are nonnegative
integers and f(t)∈tℤ[t] vary with the pair of
elements x,y, and further investigate the commutativity of such
rings. Other related results are obtained for near-rings. |
| format | Article |
| id | doaj-art-37bca565ae564649b91ac733a9c4b780 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-37bca565ae564649b91ac733a9c4b7802025-02-03T01:09:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241066767210.1155/S0161171200004853On structure of certain periodic rings and near-ringsMoharram A. Khan0Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 30356, Jeddah 21477, Saudi ArabiaThe aim of this work is to study a decomposition theorem for rings satisfying either of the properties xy=xpf(xyx)xq or xy=xpf(yxy)xq, where p=p(x,y),q=q(x,y) are nonnegative integers and f(t)∈tℤ[t] vary with the pair of elements x,y, and further investigate the commutativity of such rings. Other related results are obtained for near-rings.http://dx.doi.org/10.1155/S0161171200004853Distributively generated near-ringJ-ringnil ringperiodic near-ring zero-commutativity. |
| spellingShingle | Moharram A. Khan On structure of certain periodic rings and near-rings International Journal of Mathematics and Mathematical Sciences Distributively generated near-ring J-ring nil ring periodic near-ring zero-commutativity. |
| title | On structure of certain periodic rings and near-rings |
| title_full | On structure of certain periodic rings and near-rings |
| title_fullStr | On structure of certain periodic rings and near-rings |
| title_full_unstemmed | On structure of certain periodic rings and near-rings |
| title_short | On structure of certain periodic rings and near-rings |
| title_sort | on structure of certain periodic rings and near rings |
| topic | Distributively generated near-ring J-ring nil ring periodic near-ring zero-commutativity. |
| url | http://dx.doi.org/10.1155/S0161171200004853 |
| work_keys_str_mv | AT moharramakhan onstructureofcertainperiodicringsandnearrings |