Primary decompositions of the ideals of Abelian π-regular ring(Abelian π-正则环的理想准素分解)
证明了 Abelian π-正则环的每个理想均为一些准素理想的交.并进一步证明了一个Abelian π-正则环R的理想具有准素分解当且仅当R只有有限个完全素理想.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2014-07-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2014.04.002 |
| _version_ | 1797235953562025984 |
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| author | LUJianwei(卢建伟) |
| author_facet | LUJianwei(卢建伟) |
| author_sort | LUJianwei(卢建伟) |
| collection | DOAJ |
| description | 证明了 Abelian π-正则环的每个理想均为一些准素理想的交.并进一步证明了一个Abelian π-正则环R的理想具有准素分解当且仅当R只有有限个完全素理想. |
| first_indexed | 2024-04-24T16:56:09Z |
| format | Article |
| id | doaj.art-b23bd708c8504843abfb176bab909c3e |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:56:09Z |
| publishDate | 2014-07-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-b23bd708c8504843abfb176bab909c3e2024-03-29T01:58:33ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972014-07-0141437337510.3785/j.issn.1008-9497.2014.04.002Primary decompositions of the ideals of Abelian π-regular ring(Abelian π-正则环的理想准素分解)LUJianwei(卢建伟)0Department of Mathematics, Shenyang University of Technology, Shenyang 110870, China(沈阳工业大学理学院，辽宁 沈阳 110870)证明了 Abelian π-正则环的每个理想均为一些准素理想的交.并进一步证明了一个Abelian π-正则环R的理想具有准素分解当且仅当R只有有限个完全素理想.https://doi.org/10.3785/j.issn.1008-9497.2014.04.002abelian环π-正则环完全素理想准素理想 |
| spellingShingle | LUJianwei(卢建伟) Primary decompositions of the ideals of Abelian π-regular ring(Abelian π-正则环的理想准素分解) Zhejiang Daxue xuebao. Lixue ban abelian环 π-正则环 完全素理想 准素理想 |
| title | Primary decompositions of the ideals of Abelian π-regular ring(Abelian π-正则环的理想准素分解) |
| title_full | Primary decompositions of the ideals of Abelian π-regular ring(Abelian π-正则环的理想准素分解) |
| title_fullStr | Primary decompositions of the ideals of Abelian π-regular ring(Abelian π-正则环的理想准素分解) |
| title_full_unstemmed | Primary decompositions of the ideals of Abelian π-regular ring(Abelian π-正则环的理想准素分解) |
| title_short | Primary decompositions of the ideals of Abelian π-regular ring(Abelian π-正则环的理想准素分解) |
| title_sort | primary decompositions of the ideals of abelian π regular ring abelian π 正则环的理想准素分解 |
| topic | abelian环 π-正则环 完全素理想 准素理想 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2014.04.002 |
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