On Generalized Periodic-Like Rings
Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R generalized periodic-like if for all x∈R∖(N∪J∪Z) there exist positive integers m, n of opposite parity for which xm−xn∈N∩Z. We identify some basic properties of such rings and prove some results on com...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/29513 |
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| _version_ | 1832555360910573568 |
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| author | Howard E. Bell Adil Yaqub |
| author_facet | Howard E. Bell Adil Yaqub |
| author_sort | Howard E. Bell |
| collection | DOAJ |
| description | Let R be a ring with center
Z, Jacobson radical J, and set N of all nilpotent
elements. Call R generalized periodic-like if for all x∈R∖(N∪J∪Z) there exist positive integers m, n of opposite parity for which xm−xn∈N∩Z. We identify some basic properties of such rings and prove some results on commutativity. |
| format | Article |
| id | doaj-art-cf1417d9536c4d11afc0d766109e4074 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cf1417d9536c4d11afc0d766109e40742025-02-03T05:48:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/2951329513On Generalized Periodic-Like RingsHoward E. Bell0Adil Yaqub1Department of Mathematics, Brock University, St. Catharines, Ontario L2S 3A1, CanadaDepartment of Mathematics, University of California, Santa Barbara, CA 93106, USALet R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R generalized periodic-like if for all x∈R∖(N∪J∪Z) there exist positive integers m, n of opposite parity for which xm−xn∈N∩Z. We identify some basic properties of such rings and prove some results on commutativity.http://dx.doi.org/10.1155/2007/29513 |
| spellingShingle | Howard E. Bell Adil Yaqub On Generalized Periodic-Like Rings International Journal of Mathematics and Mathematical Sciences |
| title | On Generalized Periodic-Like Rings |
| title_full | On Generalized Periodic-Like Rings |
| title_fullStr | On Generalized Periodic-Like Rings |
| title_full_unstemmed | On Generalized Periodic-Like Rings |
| title_short | On Generalized Periodic-Like Rings |
| title_sort | on generalized periodic like rings |
| url | http://dx.doi.org/10.1155/2007/29513 |
| work_keys_str_mv | AT howardebell ongeneralizedperiodiclikerings AT adilyaqub ongeneralizedperiodiclikerings |