| PT整环的研究 |
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| 引用本文： | 万吉湘,王芳贵.PT整环的研究[J].四川师范大学学报(自然科学版),2010,33(1). |
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| 作者姓名： | 万吉湘 王芳贵 |
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| 作者单位： | 1. 绵阳师范学院,数学与计算机科学学院,四川,绵阳,621000
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，四川省教育厅自然科学重点科研项目 |
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| 摘 要： | 引入了PT整环的概念,通过例子说明PTW整环不是PT整环,刻画了PT整环的局部化性质;然后讨论了其拉回图;最后对PT整环的几类扩环的性质进行了描述.
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| 关 键 词： | t-理想 PT整环 v-凝聚整环 SM整环 Noether环 |
Characterizations on PT Domains |
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| WAN Ji-xiang,WANG Fang-gui.Characterizations on PT Domains[J].Journal of Sichuan Normal University(Natural Science),2010,33(1). |
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| Authors: | WAN Ji-xiang WANG Fang-gui |
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| Institution: | WAN Ji-xiang1,WANG Fang-gui2 (1.College of Mathematics and Computer Science,Mianyang Normal College,Mianyang 621000,Sichuan,2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
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| Abstract: | In this paper,the concept of PT domain is defined.An example is provided to show that a PTW domain is not a PT domain.And the local properties of PT domains are described.Moreover,the pullback of PT domains is studied.Fanally,the properties of several overrings of PT domains are characterized respectively. |
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| Keywords: | t-ideal v-coherent domain PT domain SM domain Noether domain |
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