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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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几乎v-整环的局部化与拉回图研究
, PP. 23-27
Keywords: 星型算子,几乎v-整环,局部化,Nagata型定理,拉回图
Abstract:
引入了几乎v-整环的概念.举例说明了几乎v-整环的局部化不一定是几乎v-整环.证明了若{Rα}是整环R的平坦扩环且R=∩Rα具有局部有限特征,如果Rα都是几乎v-整环,则R也是几乎v-整环.也研究了关于几乎v-整环的Nagata型定理.最后研究了几乎v-整环在(ΔM)型拉回图中的性质,证明了在(ΔM)型拉回图中,整环R是几乎v-整环当且仅当整环D和T都是几乎v-整环且TM是AV-整环.特别地,给出了若k是整环D的商域,则D+Xk［X］(或D+Xk［［X］］)是几乎v-整环当且仅当D是几乎v-整环.
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