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: 27 times

Articles available on are pre-prints that may not yet have been verified by peer-review and should therefore be treated as preliminary and speculative. Nothing stated should be treated as sound unless confirmed and endorsed by a concensus of independent qualified experts. In particular anything that appears to include financial or legal information or proposed medical treatments should not be taken as such. 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.

comments powered by Disqus