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- W1968991271 abstract "Throughout, let A be a (commutative Noetherian) local ring (with identity) of dimension d > 0, having maximal ideal m. For an m-primary ideal q of A, we shall denote the multiplicity of q by e(q) or eA(q); if x1, . . . , Xd fOrIn a system of parameters (‘s.0.p.’ will be used as an abbreviation for ‘system of parameters’, and ‘s.s.0.p.’ will stand for ‘subset of a system of parameters’) for A, we shall use 4x1, . . . . xd) to denote e(Cy,, AXi). The length of an A-module M will be denoted by I(M) or I,(M). It is well known that, for an m-primary ideal q, for all large values of the positive integer n, the expression [(A/q”) takes the same values as a rational polynomial in n of degree d having leading coefficient e(q)/d!, so that" @default.
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- W1968991271 date "1985-11-01" @default.
- W1968991271 modified "2023-09-25" @default.
- W1968991271 title "Lengths of certain generalized fractions" @default.
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- W1968991271 doi "https://doi.org/10.1016/0022-4049(85)90020-9" @default.
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