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| 广义幂级数代数的滤链维数 | |
| 引用本文： | 姚海楼,郭莹. 广义幂级数代数的滤链维数[J]. 数学研究及应用, 2014, 34(1): 49-60 |
| 作者姓名： | 姚海楼 郭莹 |
| 作者单位： | 北京工业大学应用数理学院, 北京 100124;北京工业大学应用数理学院, 北京 100124 |
| 基金项目： | 国家自然科学基金 (Grant Nos.10971172; 11271119), 北京市自然科学基金 (Grant No.1122002). |
| 摘 要： | In this paper, we study the properties of generalized power series modules and the filtration dimensions of generalized power series algebras. We obtain that [[△S,≤]]- gfd([[AS,≤]]) =△-gfd(A) if A is an R-module where R is a perfect and coherent commutative algebra, and(R, ≤) is standardly stratified. |
| 关 键 词： | 广义幂级数 代数和 链 R-模 标准分 |
| 收稿时间： | 2012-11-19 |
| 修稿时间： | 2013-06-04 |
The Filtration Dimensions of Generalized Power Series Algebras |
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| Hailou YAO and Ying GUO. The Filtration Dimensions of Generalized Power Series Algebras[J]. Journal of Mathematical Research with Applications, 2014, 34(1): 49-60 | |
| Authors: | Hailou YAO and Ying GUO |
| Affiliation: | College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China;College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China |
| Abstract: | In this paper, we study the properties of generalized power series modules and the filtration dimensions of generalized power series algebras. We obtain that $[[triangle ^{S,leq}]]$-${rm gfd}([[A^{S,leq}]])=triangle$-${rm gfd}(A)$ if $A$ is an $R$-module where $R$ is a perfect and coherent commutative algebra, and $(R,leq)$ is standardly stratified. |
| Keywords: | standardly stratified algebra generalized power series algebra generalized power series module filtration dimension. |
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