P-clean rings
In this paper we unify the structures of various clean rings by introducing the notion of P-clean rings. Some properties of P-clean rings are investigated, which generalize the known results on clean rings, semiclean rings, n-clean rings, and so forth. By the way, we answer a question of Xiao and To...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/75247 |
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| _version_ | 1850167427924492288 |
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| author | Weixing Chen |
| author_facet | Weixing Chen |
| author_sort | Weixing Chen |
| collection | DOAJ |
| description | In this paper we unify the structures of various clean rings by introducing the notion of P-clean rings. Some properties of P-clean rings are investigated, which generalize the known results on clean rings, semiclean rings, n-clean rings, and so forth. By the way, we answer a question of Xiao and Tong on n-clean rings in the negative. |
| format | Article |
| id | doaj-art-d9bff984ba624bba9efe2ce28f100ef8 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d9bff984ba624bba9efe2ce28f100ef82025-08-20T02:21:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/7524775247P-clean ringsWeixing Chen0Mathematics and Information Science School, Shandong Institute of Business and Technology, Yantai 264005, ChinaIn this paper we unify the structures of various clean rings by introducing the notion of P-clean rings. Some properties of P-clean rings are investigated, which generalize the known results on clean rings, semiclean rings, n-clean rings, and so forth. By the way, we answer a question of Xiao and Tong on n-clean rings in the negative.http://dx.doi.org/10.1155/IJMMS/2006/75247 |
| spellingShingle | Weixing Chen P-clean rings International Journal of Mathematics and Mathematical Sciences |
| title | P-clean rings |
| title_full | P-clean rings |
| title_fullStr | P-clean rings |
| title_full_unstemmed | P-clean rings |
| title_short | P-clean rings |
| title_sort | p clean rings |
| url | http://dx.doi.org/10.1155/IJMMS/2006/75247 |
| work_keys_str_mv | AT weixingchen pcleanrings |