Ore extensions of PP and PS rings(Ore扩张的PP性和PS性)
CHAN Yong-hong等证明了:假如R是α-rigid环,那么R是PP环当且仅当R[x;α,δ]是PP环.作者将这个结论推广到了斜幂级数环R[[x;α]]上.证明了如果R是α-rigid环,那么R[[x;α]]是PP环当且仅当R是PP环且R中可数个幂等元在B(R)中有最小上界.同时讨论了Ore扩张和斜幂级数的广义PP性、弱PP性、p.q-Baer性以及PS性.
I tiakina i:
| Kaituhi matua: | |
|---|---|
| Hōputu: | Artigo |
| Reo: | Chinês |
| I whakaputaina: |
Zhejiang University Press
2004-01-01
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| Rangatū: | Zhejiang Daxue xuebao. Lixue ban |
| Ngā marau: | |
| Urunga tuihono: | https://doi.org/zjup/1008-9497.2004.31.1.10-13 |
| Ngā Tūtohu: |
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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