Ore extensions of PP and PS rings(Ore扩张的PP性和PS性)

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....

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Bibliographic Details
Main Author: SONGJun-quan(宋军全)
Format: Article
Language:zho
Published: Zhejiang University Press 2004-01-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
ore扩张
斜幂级数环
pp环
p.q-baer环
ps环
Online Access:https://doi.org/zjup/1008-9497.2004.31.1.10-13

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