A weak periodicity condition for rings
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element. After discussing some basic properties of such rings, we investigate their commutativity behavior.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1387 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849691148179734528 |
|---|---|
| author | Hazar Abu-Khuzam Howard E. Bell Adil Yaqub |
| author_facet | Hazar Abu-Khuzam Howard E. Bell Adil Yaqub |
| author_sort | Hazar Abu-Khuzam |
| collection | DOAJ |
| description | A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element. After discussing some
basic properties of such rings, we investigate their commutativity behavior. |
| format | Article |
| id | doaj-art-e26ea76c0e53487fa95a6fd7a805b09d |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e26ea76c0e53487fa95a6fd7a805b09d2025-08-20T03:21:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-01200591387139110.1155/IJMMS.2005.1387A weak periodicity condition for ringsHazar Abu-Khuzam0Howard E. Bell1Adil Yaqub2Department of Mathematics, American University of Beirut, Beirut 1107 2020, LebanonDepartment of Mathematics, Brock University, ON, St. Catharines L2S 3A1, CanadaDepartment of Mathematics, University of California, Santa Barbara, CA 93106, USAA ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element. After discussing some basic properties of such rings, we investigate their commutativity behavior.http://dx.doi.org/10.1155/IJMMS.2005.1387 |
| spellingShingle | Hazar Abu-Khuzam Howard E. Bell Adil Yaqub A weak periodicity condition for rings International Journal of Mathematics and Mathematical Sciences |
| title | A weak periodicity condition for rings |
| title_full | A weak periodicity condition for rings |
| title_fullStr | A weak periodicity condition for rings |
| title_full_unstemmed | A weak periodicity condition for rings |
| title_short | A weak periodicity condition for rings |
| title_sort | weak periodicity condition for rings |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1387 |
| work_keys_str_mv | AT hazarabukhuzam aweakperiodicityconditionforrings AT howardebell aweakperiodicityconditionforrings AT adilyaqub aweakperiodicityconditionforrings AT hazarabukhuzam weakperiodicityconditionforrings AT howardebell weakperiodicityconditionforrings AT adilyaqub weakperiodicityconditionforrings |