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

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

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