Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the length of a Hilbert ascending chain
HTML articles powered by AMS MathViewer

by A. Seidenberg
Proc. Amer. Math. Soc. 29 (1971), 443-450
DOI: https://doi.org/10.1090/S0002-9939-1971-0280473-X

Abstract:

It is shown that if a bound $f(i)$ is placed on the degrees of the elements in some basis of an ideal ${A_i}$ in the polynomial ring $k[{X_1}, \cdots ,{X_n}]$ over the field $k,i = 0,1,2, \cdots$, then a bound can be placed on the length of a strictly ascending chain ${A_0} < {A_1} < \cdots$. Moreover one could explicitly write down a formula for a bound ${g_n}$ in terms of f and n.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 13.25
  • Retrieve articles in all journals with MSC: 13.25
Bibliographic Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 29 (1971), 443-450
  • MSC: Primary 13.25
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0280473-X
  • MathSciNet review: 0280473