A Note on the w-Global Transform of Mori Domains

A Note on the w-Global Transform of Mori Domains

下载PDF

导出

摘要 Let R be a domain and let Rwg be the w-global transform of R. In this note it is shown that if R is a Mori domain, then the t-dimension formula t-dim（Rwg） = t-dim（R） - 1 holds. Let R be a domain and let Rwg be the w-global transform of R. In this note it is shown that if R is a Mori domain, then the t-dimension formula t-dim（Rwg） = t-dim（R） - 1 holds.

作者 Fang Gui WANG

机构地区 Institute of Mathematics and Software Science

出处《Journal of Mathematical Research and Exposition》 CSCD 2010年第3期552-556,共5页 数学研究与评论（英文版）

基金 Supported by the National Natural Science Foundation of China (Grant No. 10671137) the Research Foun-dation for Doctor Programme (Grant No. 20060636001)

关键词 Mori domain maximal w-ideal the w-global transform. Mori domain maximal w-ideal the w-global transform.

分类号 O154 [理学—基础数学]

引文网络
相关文献

参考文献11

1ANDERSON D D, COOK S J. Two star-operations and their induced lattices [J]. Comm. Algebra, 2000, 28(5): 2461-2475.
2BARUCCI V, GABELLI S, ROITMAN M. On semi-Krull domains [J]. J. Algebra, 1992, 145(2): 306-328.
3GLAZ S, VASCONCELOS W V. Flat ideals (II) [J]. Manuscripta Math., 1977, 22(4): 325-341.
4HEINZER W, LANTZ D. When is an N-ring Noetherian? [J]. J. Pure Appl. Algebra, 1986, 39(1-2): 125-139.
5HOUSTON E, ZAFRULLAH M. Integral domains in which each t-ideal is divisorial [J]. Michigan Math. J., i988, 35(2): 291-300.
6MATIJEVIC J R, Maximal ideal trans[orms of Noetherian rings [J]. Proc. Amer. Math. Sot., 1976, 54: 49-52.
7PARK M H. On overrings of strong Mori domains [J]. J. Pure Appl. Algebra, 2002, 172(1): 79-85.
8QUERPE J. Intersections d'anneaux integres [J]. J. Algebra, 1976, 43(1): 55-60.
9WANG Fanggui. On induced operations and UMT-domains [J]. Sichuan Shifan Daxue Xuebao Ziran Kexue Ban, 2004, 27(1): 1-9.
10WANG Fanggui, MCCASLAND R L. On w-modules over strong Mori domains [J]. Comm. Algebra, 1997, 25(4): 1285-1306.

1裘松良.关于平面拟共形映照的一个极值问题[J].湖南大学学报,1991,18(1):86-93.
2Fang Gui WANG.On t-Dimension over Strong Mori Domains[J].Acta Mathematica Sinica,English Series,2006,22(1):131-138. 被引量：8
3裘松良.n维拟共形映照的Mori（型）不等式的加强[J].数学杂志,1995,15(3):253-259.
4Jun-Muk Hwang 丁璐张伟王世坤.Mori几何汇合Cartan几何：极小有理切线簇[J].数学译林,2014,0(4):289-290.
5Qiu Songliang.On Mori's Theorem in Quasiconformal Theory[J].Acta Mathematica Sinica,English Series,1997,13(1):35-44. 被引量：1
6吴佳,陈裕先,廖秋根.角域内亚纯函数及其导数的分担值[J].南昌大学学报（理科版）,2011,35(4):339-342.
7吴良宏,赵逸才.一类Mori纤维化的极面收缩态射[J].暨南大学学报（自然科学与医学版）,2013,34(3):260-262.
8苏继龙.基于微体积扰动的颗粒增强复合材料有效弹性性能的预测模型[J].安徽工业大学学报（自然科学版）,2005,22(3):226-228.
9黄心中.平面拟共形映照的偏差函数估计[J].数学年刊（A辑）,2014,35(4):413-422. 被引量：1
10蔡中义,孙锡红,李明哲,冯肇华.再现与微分离散测量数据的光顺-有限元方法[J].吉林大学学报（工学版）,2003,33(2):64-68.

Journal of Mathematical Research and Exposition

2010年第3期

浏览历史

内容加载中请稍等...

A Note on the w-Global Transform of Mori Domains

参考文献11

相关作者

相关机构

相关主题

浏览历史