ASYMPTOTIC BEHAVIOUR OF STANDARD BASES

作者：Rond Guillaume^*

来源：Proceedings of the American Mathematical Society, 2010, 138(6): 1979-1982.

DOI：10.1090/S0002-9939-10-10236-6

We prove that the elements of any standard basis of I(n), where I is an ideal of a Noetherian local ring and it is a positive integer, have order bounded by a linear function in n. We deduce from this that the elements of any standard basis of I(n) in the sense of Grauert-Hironaka, where I is an ideal of the ring of power series, have order bounded by a polynomial function in n.

• 出版日期2010-6