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Proceedings of the American Mathematical Society

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A multiplication in $ N$-space


Author: Dean Lucas
Journal: Proc. Amer. Math. Soc. 74 (1979), 1-8
MSC: Primary 13J99; Secondary 55P45
MathSciNet review: 521863
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Abstract: A multiplication is constructed which extends the vector space structure of Euclidean n-space to a commutative algebra.


References [Enhancements On Off] (What's this?)

  • [1] William B. Gordon, An application of Hadamard’s inverse function theorem to algebra, Amer. Math. Monthly 84 (1977), no. 1, 28–29. MR 0424784
  • [2] I. N. Herstein, Topics in algebra, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1964. MR 0171801
  • [3] 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

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0521863-4
Keywords: Multiplication, Euclidean space, commutative algebra
Article copyright: © Copyright 1979 American Mathematical Society