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 critical set of the reduced norm, as an algebraic set
HTML articles powered by AMS MathViewer

by Don Goelman
Proc. Amer. Math. Soc. 48 (1975), 307-312
DOI: https://doi.org/10.1090/S0002-9939-1975-0364239-1

Abstract:

For an associative algebra $A$ over $k$, the reduced norm $\nu :A \to k$ is a polynomial function. As such the critical set ${C_\nu }$ is defined, consisting of points where the differential ${(d\nu )_z}$ vanishes. The $k$-rational points of ${C_\nu }$ have been determined by the author under certain separability conditions (Rational critical points of the reduced norm of an algebra, Bull. Amer. Math. Soc. 80 (1974), 138-141); here the dimension of ${C_\nu }$ as an algebraic $k$-set is discussed.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 14A25
  • Retrieve articles in all journals with MSC: 14A25
Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 48 (1975), 307-312
  • MSC: Primary 14A25
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0364239-1
  • MathSciNet review: 0364239