Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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.

 

Stability in Witt rings
HTML articles powered by AMS MathViewer

by Thomas C. Craven PDF
Trans. Amer. Math. Soc. 225 (1977), 227-242 Request permission

Abstract:

An abstract Witt ring R is defined to be a certain quotient of an integral group ring for a group of exponent 2. The ring R has a unique maximal ideal M containing 2. A variety of results are obtained concerning n-stability, the condition that ${M^{n + 1}} = 2{M^n}$, especially its relationship to the ring of continuous functions from the space of minimal prime ideals of R to the integers. For finite groups, a characterization of integral group rings is obtained in terms of n-stability. For Witt rings of formally real fields, conditions equivalent to n-stability are given in terms of the real places defined on the field.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 13K05, 13A15
  • Retrieve articles in all journals with MSC: 13K05, 13A15
Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 225 (1977), 227-242
  • MSC: Primary 13K05; Secondary 13A15
  • DOI: https://doi.org/10.1090/S0002-9947-1977-0424800-9
  • MathSciNet review: 0424800