Semiclean rings and their extensions(Semiclean环及其扩张)
对clean环进行了推广，研究了 semiclean环，讨论了 semiclean环的几个重要性质；证明了(1)R是semi-clean 环;(2)R上的形式幂级数环R[[x]]是semiclean环；(3)R上的斜幂级数环R[[x;α]是semiclean环等价；最后证明了，如果R是环，(S，≤)是严格偏序幺半群且对任意s∈S，都有0≤s，则[[RS, ≤]]是semiclean环当且仅当R是semiclean环....
| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
| Published: |
Zhejiang University Press
2012-01-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2012.01.002 |