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Article Dans Une Revue Proceedings of the Edinburgh Mathematical Society Année : 2017

A Study of the Length Function of Generalized Fractions of Modules

Marcel Morales
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Pham Hung Quy
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Résumé

Let be a Noetherian local ring and let M be a finitely generated R-module of dimension d. Let be a system of parameters of M and let be a d-tuple of positive integers. In this paper we study the length of generalized fractions M(1/(x 1, … , xd , 1)), which was introduced by Sharp and Hamieh. First, we study the growth of the function Then we give an explicit calculation for the function in the case in which M admits a certain Macaulay extension. Most previous results on this topic are improved in a clearly understandable way.
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hal-01993745 , version 1 (25-01-2019)

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  • HAL Id : hal-01993745 , version 1

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Marcel Morales, Pham Hung Quy. A Study of the Length Function of Generalized Fractions of Modules. Proceedings of the Edinburgh Mathematical Society, 2017, 60 (03), pp.721-737. ⟨hal-01993745⟩
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