Spaces Over Algebras with Euclidean Metric

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 a...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-10, Vol.276 (3), p.360-365
Main Author: Guseva, N. I.
Format: Article
Language:English
Subjects:
Algebra
Euclidean geometry
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06750-1