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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    R-模  标准分
收稿时间:2012/11/19 0:00:00
修稿时间:6/4/2013 12:00:00 AM

The Filtration Dimensions of Generalized Power Series Algebras
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
Institution: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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