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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

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
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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