A multiplication in $N$-space
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- by Dean Lucas PDF
- Proc. Amer. Math. Soc. 74 (1979), 1-8 Request permission
Abstract:
A multiplication is constructed which extends the vector space structure of Euclidean n-space to a commutative algebra.References
- William B. Gordon, An application of Hadamard’s inverse function theorem to algebra, Amer. Math. Monthly 84 (1977), no. 1, 28–29. MR 424784, DOI 10.2307/2318301
- I. N. Herstein, Topics in algebra, Blaisdell Publishing Co. [Ginn and Co.], New York-Toronto-London, 1964. MR 0171801
- M. A. Naĭmark, Normed rings, Reprinting of the revised English edition, Wolters-Noordhoff Publishing, Groningen, 1970. Translated from the first Russian edition by Leo F. Boron. MR 0355601
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 1-8
- MSC: Primary 13J99; Secondary 55P45
- DOI: https://doi.org/10.1090/S0002-9939-1979-0521863-4
- MathSciNet review: 521863