TITLE:
3D Matrix Ring with a “Common” Multiplication
AUTHORS:
Orgest Zaka
KEYWORDS:
Linear Algebra, Matrices, Ring Theory
JOURNAL NAME:
Open Access Library Journal,
Vol.4 No.5,
May
15,
2017
ABSTRACT: In this article, starting from geometrical considerations, he was born with the idea of 3D matrices, which have developed in this article. A problem here was the definition of multiplication, which we have given in analogy with the usual 2D matrices. The goal here is 3D matrices to be a generalization of 2D matrices. Work initially we started with 3×3×3matrix, and then we extended to m×n×p matrices. In this article, we give the meaning of 3D matrices. We also defined two actions in this set. As a result, in this article, we have reached to present 3-dimensional unitary ring matrices with elements from a field F.