## 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.

**Download:** **PDF**

### Submission history

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

**Unique-IP document downloads:** 38 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*