| The Filtration Dimensions of Generalized Power Series Algebras |
| Received:November 19, 2012 Revised:June 04, 2013 |
| Key Words:
standardly stratified algebra generalized power series algebra generalized power series module filtration dimension.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10971172; 11271119) and the Natural Science Foundation of Beijing (Grant No.1122002). |
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| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.01.005 |
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