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Lengths of certain generalized fractions

✍ Scribed by R.Y. Sharp; M.A. Hamieh


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
763 KB
Volume
38
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES


On the length of generalized fractions
✍ Nguyen Tu Cuong; Marcel Morales; Le Thanh Nhan πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 149 KB

Let M be a finitely generated module over a Noetherian local ring (R, m) with dim M = d. Let (x 1 , . . . , x d ) be a system of parameters of M and (n 1 , . . . , n d ) a set of positive integers. Consider the length of generalized fraction 1/(x n 1 1 , . . . , x n d d , 1) as a function in n 1 , .

Generalized Sets of Lengths
✍ Scott T Chapman; William W Smith πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 276 KB

In this paper, we study the sets where n is a positive integer. We show, in constrast to indications in some earlier work, that the sets R n are not completely determined by the Davenport constant of the class group of R. We offer some specific constructions for Dedekind domains with small class gr