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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An extension of Dedekind’s linear independence theorem
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by Charles M. Walters PDF
Proc. Amer. Math. Soc. 39 (1973), 73-76 Request permission

Abstract:

Dedekind’s theorem on the linear independence of isomorphisms of a field is extended to the case of linear independence of compositions of isomorphisms and powers of a derivation, $D$, for fields of characteristic zero which contain an element $s$ such that $D(s) = 1$.
References
  • Nathan Jacobson, Lectures in abstract algebra. Vol III: Theory of fields and Galois theory, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London-New York, 1964. MR 0172871
    • C. M. Walters, Continuous linear transformations on the field of Mikusiński operators, Ph.D. Thesis, North Carolina State University, Raleigh, N.C., 1971.
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 39 (1973), 73-76
  • MSC: Primary 12H05
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0311632-7
  • MathSciNet review: 0311632