## A Two-Dimensional Vector Space Algebra with Identity 2x2 Matrix Basis Matrix Multiplication Homomorphism

**Authors:** Claude Michael Cassano

A two-dimensional vector space algebra with identity 2x2 matrix basis matrix multiplication homomorphism
There exists a homomorphism between any two-dimensional vector space algebra with identity and a 2x2 matrix basis under ordinary matrix multiplication.
This is a statement of constructive existence of an algebra.
Given that the vector space of the algebra is known to be 2-dimensional, the algebra product determines the constants: A,B,b ; determining the basis of the algebra.
And showing that the basis of a two-dimensional vector space unitary algebra is a cyclic group of order 2

**Comments:** 3 Pages.

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### Submission history

[v1] 2016-12-16 07:05:01

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