Reduced p.p.-rings without identity
We give some necessary and sufficient conditions for p.p.-rings without identity to be reduced. Our results strengthen and extend the results of Fraser and Nicholson as well as some recent results we obtained on reduced p.p.-rings with identity.
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| Main Authors: | , |
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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/2006/92890 |
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| _version_ | 1832552464438525952 |
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| author | Xiaojiang Guo K. P. Shum |
| author_facet | Xiaojiang Guo K. P. Shum |
| author_sort | Xiaojiang Guo |
| collection | DOAJ |
| description | We give some necessary and sufficient conditions for p.p.-rings
without identity to be reduced. Our results strengthen and extend
the results of Fraser and Nicholson as well as some recent results
we obtained on reduced p.p.-rings with identity. |
| format | Article |
| id | doaj-art-dbff7beb06074b7dba4256b2c42c83e5 |
| institution | Kabale University |
| 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-dbff7beb06074b7dba4256b2c42c83e52025-02-03T05:58:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/9289092890Reduced p.p.-rings without identityXiaojiang Guo0K. P. Shum1Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330027, ChinaFaculty of Science, The Chinese University of Hong Kong, Shatin, Hong KongWe give some necessary and sufficient conditions for p.p.-rings without identity to be reduced. Our results strengthen and extend the results of Fraser and Nicholson as well as some recent results we obtained on reduced p.p.-rings with identity.http://dx.doi.org/10.1155/IJMMS/2006/92890 |
| spellingShingle | Xiaojiang Guo K. P. Shum Reduced p.p.-rings without identity International Journal of Mathematics and Mathematical Sciences |
| title | Reduced p.p.-rings without identity |
| title_full | Reduced p.p.-rings without identity |
| title_fullStr | Reduced p.p.-rings without identity |
| title_full_unstemmed | Reduced p.p.-rings without identity |
| title_short | Reduced p.p.-rings without identity |
| title_sort | reduced p p rings without identity |
| url | http://dx.doi.org/10.1155/IJMMS/2006/92890 |
| work_keys_str_mv | AT xiaojiangguo reducedppringswithoutidentity AT kpshum reducedppringswithoutidentity |