| DT整环的研究 |
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| 引用本文： | 周凤杰,王芳贵.DT整环的研究[J].四川师范大学学报(自然科学版),2007,30(1):45-48. |
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| 作者姓名： | 周凤杰 王芳贵 |
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| 作者单位： | 1. 重庆通信学院,地方生管理部计算机教研室,重庆,400035
2. 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目;四川省应用基础研究计划;四川省重点学科建设项目 |
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| 摘 要： | 引入了DT整环的概念,证明了当R是v-凝聚环时,如果R是DT整环,那么R的局部化也是DT整环,以及其它几种等价情况.在拉回图的情况下,研究了DT整环与某些特殊整环的一些关系,并讨论了在拉回图中环R,D,T间的关系.通过例子给出了DT整环与DW整环和TW整环之间的联系.
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| 关 键 词： | v-凝聚整环 DW整环 TW整环 Milnor方图 fgv-整环 |
| 文章编号： | 1001-8395（2007）01-0045-04 |
| 收稿时间： | 2005-09-01 |
| 修稿时间： | 2005年9月1日 |
Characterizations on DT Domains |
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| ZHOU Feng-jie,WANG Fang-gui.Characterizations on DT Domains[J].Journal of Sichuan Normal University(Natural Science),2007,30(1):45-48. |
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| Authors: | ZHOU Feng-jie WANG Fang-gui |
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| Institution: | 1. Management Department of Local Students, Chongqing Communication Institute, Chongqing 400035; 2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
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| Abstract: | In this paper, we deal with the DT-domains. First, we prove that if R is v-coherent and S is a multiplicative set of R then R is a DT-domain if and only if RS is a DT-domain. Meanwhile we give some other equivalent conditions. Second, we investigate some properties of DT domains in pullbacks. In particular, we study the relationship between DT domains and some special domains. After that we characterize the relationship among the rings like R,D,T in a pullback. Finally, some examples are given to show that a DT domain is not only a TW domain but also a DW domain, but the reverse is not necessarily true. |
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| Keywords: | v-coherent domain DT-domain TW-domain Milnor construction fgv-domain |
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