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...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.展开更多
基金Supported by the National Natural Science Foundation of China (Grant Nos.1097117211271119)the Natural Science Foundation of Beijing (Grant No.1122002)
文摘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.
