On the length of generalized fractions
โ
Nguyen Tu Cuong; Marcel Morales; Le Thanh Nhan
๐
Article
๐
2003
๐
Elsevier Science
๐
English
โ 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 , .