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.
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