Author(s)

Orgest Zaka

Department of Mathematics, Faculty of Technical Science, University of Vlora “Ismail QEMALI”, Vlora, Albania.

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.

Linear Algebra, Matrices, Ring Theory

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