Generalized complex numbers over near-fields

被引：2

作者：

Veldsman, Stefan ^{[1
]}

机构：

[1] Nelson Mandela Univ, Dept Math, Port Elizabeth, South Africa

来源：

QUAESTIONES MATHEMATICAE | 2019年 / 42卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Near-ring; complex near-ring; polynomial near-ring; matrix near-ring; RINGS;

D O I：

10.2989/16073606.2018.1442884

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The construction of the complex numbers over the reals has been generalized in many ways leading, amongs others, to the 2-dimensional elliptical complex numbers (= ordinary complex numbers), the parabolic complex numbers and the hyperbolic complex numbers. One can extend these to higher dimensions and also to using an arbitrary ring as the base ring. Here we propose a construction of generalized complex numbers over a near-field and investigate some of the structural properties of this near-ring.

引用

页码：181 / 200

页数：20

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