| On t-Dimension over Strong Mori Domains |
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| 引用本文： | Fang Gui WANG. On t-Dimension over Strong Mori Domains[J]. 数学学报(英文版), 2006, 22(1): 131-138. DOI: 10.1007/s10114-005-0539-z |
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| 作者姓名： | Fang Gui WANG |
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| 作者单位： | Institute of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, P. R. China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10271502） and by SZD0406 |
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| 摘 要： | ![]()
In this note we prove that if R is a strong Mori domain with t-dim R = n and with countably many prime v-ideals, then there is a chain of rings between R and R^w R1=R belong to R2……belong to Rn lohtuin in R^w such that each R, is also a strong Mori domain and t-dim Rk=n - k ＋ 1 for k = 1,2,..., n.
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| 关 键 词： | 强Mori域 积分闭环 扩展性 上确界 上升链 |
| 收稿时间： | 2003-05-12 |
| 修稿时间： | 2003-05-122004-08-08 |
On t–Dimension over Strong Mori Domains |
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| Fang Gui Wang. On t–Dimension over Strong Mori Domains[J]. Acta Mathematica Sinica(English Series), 2006, 22(1): 131-138. DOI: 10.1007/s10114-005-0539-z |
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| Authors: | Fang Gui Wang |
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| Affiliation: | (1) Institute of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, P. R. China |
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| Abstract: | ![]()
In this note we prove that if R is a strong Mori domain with t–dim R = n and with countably many prime v–ideals, then there is a chain of rings between R and R w such that each R i is also a strong Mori domain and t–dim Rk = n − k + 1 for k = 1, 2, . . . , n. Supported by the National Natural Science Foundation of China (10271502) and by SZD0406 |
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| Keywords: | Strong Mori domain t-dimension w-integral closure |
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