The critical set of the reduced norm, as an algebraic set
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- by Don Goelman PDF
- Proc. Amer. Math. Soc. 48 (1975), 307-312 Request permission
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
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Additional 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