关于右GP-V-环(On right GP-V-rings)
GP-V-ring(GP-V-module) is studied which is a generalization of P-V-ring (P-V-module), and the characters are searched for. For example,if R is a right GP-V-ring, then for any maximal subideal K of a principal right ideal U= aR, a ∈R, there exists a maximal right ideal H of R that H ∩anR = K ∩anR , f...
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2009-05-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
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| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2009.03.002 |
| Summary: | GP-V-ring(GP-V-module) is studied which is a generalization of P-V-ring (P-V-module), and the characters are searched for. For example,if R is a right GP-V-ring, then for any maximal subideal K of a principal right ideal U= aR, a ∈R, there exists a maximal right ideal H of R that H ∩anR = K ∩anR , for some n∈Z+；Every principal right ideal of a right GP-V-ring is idempotent,any direct summand of a right GP-V-ring is again a right GP-V-ring and so on. Furthermore, the question when a GP-V-ring is Von Neumann regular is discussed in the remainder. |
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| ISSN: | 1008-9497 |