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.

 

The dimension of the ring of coefficients in a polynomial ring
HTML articles powered by AMS MathViewer

by Jimmy T. Arnold
Proc. Amer. Math. Soc. 49 (1975), 32-34
DOI: https://doi.org/10.1090/S0002-9939-1975-0360553-4

Abstract:

$A$ and $B$ are commutative rings with identity. We say that $A$ and $B$ are stably equivalent provided there exists a positive integer $n$ such that the polynomial rings $A[{X_1}, \cdots ,{X_n}]$ and $B[{Y_1}, \cdots ,{Y_n}]$ are isomorphic. If $A$ and $B$ are stably equivalent, then they have equal Krull dimension.
References
Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 49 (1975), 32-34
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0360553-4
  • MathSciNet review: 0360553