# 3D Matrix Ring with a -Common- Multiplication

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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 3×3×3 matrix, 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.

KEYWORDS

Linear Algebra, Matrices, Ring Theory

Cite this paper

Zaka, O. 2017 3D Matrix Ring with a -Common- Multiplication. Open Access Library Journal, 4, 1-11. doi: 10.4236-oalib.1103593.

Author: Orgest Zaka

Source: http://www.scirp.org/

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