| Milnor方图中的w-凝聚性 |
| |
| 引用本文： | 王芳贵.Milnor方图中的w-凝聚性[J].数学学报,2012(1):65-76. |
| |
| 作者姓名： | 王芳贵 |
| |
| 作者单位： | 四川师范大学数学与软件科学学院 |
| |
| 基金项目： | 国家自然科学基金资助项目(10671137) |
| |
| 摘 要： | 整环R称为ω-凝聚整环,是指R的每个有限型理想是有限表现型的.本文证明了ω-凝聚整环是v-凝聚整环,且若(RDTF,M)是Milnor方图,则在Ⅰ型情形,R是ω-凝聚整环当且仅当D和T都是ω-整环,且T_M是赋值环;对于Ⅱ-型情形,R是ω-凝聚整环当且仅当D是域,F:D]<∞,M是R的有限型理想,T是ω-凝聚整环,且R_M是凝聚整环.
|
| 关 键 词： | ω-模 有限型模 有限表现型模 ω-凝聚整环 |
w-Coherence in Milnor Squares |
| |
| Fang Gui WANG.w-Coherence in Milnor Squares[J].Acta Mathematica Sinica,2012(1):65-76. |
| |
| Authors: | Fang Gui WANG |
| |
| Institution: | Fang Gui WANG College of Mathematics and Software Science,Sichuan Normal University, Chengdu 610068,P.R.China |
| |
| Abstract: | A domain R is called w-coherent if every finite type ideal is of finitely presented type.In this paper we show that w-coherent domains are v-coherent and if (RDTF,M) is a Milnor square,then for the case that F is the quotient field of D,R is w-coherent if and only if D and T are in-coherent and T_m is a valuation domain;and for the case that F is not the quotient field of D,R is w-coherent if and only if D is a field,F:D]<∞,M is a finite type ideal of R,T is w-coherent and R_m is coherent. |
| |
| Keywords: | w-module finite type finitely presented type w-coherent domain |
| 本文献已被 CNKI 等数据库收录！ |
|
