Spaces Over Algebras with Euclidean Metric

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-10, Vol.276 (3), p.360-365
1. Verfasser: Guseva, N. I.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Euclidean geometry
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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