Spaces Over Algebras with Euclidean Metric

被引：0
|
作者：
Guseva N.I. [1 ,2 ]
机构：
[1] Moscow State Pedagogical University, Moscow
[2] Russian Institute for Scientific and Technical Information of the Russian Academy of Sciences, Moscow
来源：
Journal of Mathematical Sciences | 2023年 / 276卷 / 3期
关键词：
13K05; 51M04; 51N20; complex linear space; dimension; metric; real realization of a space; space over algebra; structure of an algebra in a linear space;
D O I：
10.1007/s10958-023-06750-1
中图分类号：
学科分类号：
摘要：
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. © 2023, Springer Nature Switzerland AG.
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页码：360 / 365
页数：5
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