Year: 2020
Type: article
Abstract: The axioms of fields satisfy over sets of numbers such as , , and . Generally, a set matrix is not commutative for binary multiplication properties, such that cannot satisfy of field axioms. In this paper we will discuss the circulant matrix set which satisfies the commutative properties of multiplication, then it will be shown that the definition of a field is satisfied by the circulant matrix . This can provide a new perspective on a field formed by matrix.
Author: Mahfudz Reza Fahlevi
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3092759751