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Spaces Over Algebras with Euclidean Metric

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Abstract

In this paper, we propose a new approach to the real realization of spaces over algebras, in which a space over an algebra and the space of its realification have the same dimension. We also give several examples from Euclidean geometry, which illustrate this real realization of spaces over linear algebras.

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Authors and Affiliations

  1. Moscow State Pedagogical University, Moscow, Russia

    N. I. Guseva

  2. Russian Institute for Scientific and Technical Information of the Russian Academy of Sciences, Moscow, Russia

    N. I. Guseva

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  1. N. I. Guseva
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Correspondence to N. I. Guseva.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 179, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, 2020.

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Guseva, N.I. Spaces Over Algebras with Euclidean Metric. J Math Sci 276, 360–365 (2023). https://doi.org/10.1007/s10958-023-06750-1

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  • DOI: https://doi.org/10.1007/s10958-023-06750-1

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