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- W2065211796 abstract "Let (R, m) be a commutative Noetherian local ring with the maximal ideal m and A an Artinian R-module with N-dimA = d. Let n = (n1,n2,...,nd) be a d-tuple of positive integers. For each system of parameters x = (x1,...,xd) of A, we consider the length ℓ R(0 :A (x 1 n1 ,...,x d nd )R) as a function d-variables on n 1 ,...,n d . Then a necessary and sufficient condition for this length to be polynomial (in n1,...,nd) is given. Moreover, we shall introduce a system of parameters for which the length ℓ R(0 : A (x 1 n 1,...,x d nd )R) can be computed by a nice formula." @default.
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- W2065211796 date "2014-01-01" @default.
- W2065211796 modified "2023-10-18" @default.
- W2065211796 title "ON THE POLYNOMIAL PROPERTY OF A FUNCTION OF CERTAIN SYSTEMS OF PARAMETERS FOR ARTINIAN MODULES" @default.
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- W2065211796 doi "https://doi.org/10.2206/kyushujm.68.239" @default.
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