Abstract
In this article, we give an extension of the Fundamental Theorem of finite dimensional algebras to the case of ℤ2-graded algebras. Essentially, the results are the same as in the classical case, except that the notion of a ℤ2-graded division algebra needs to be modified. We classify all finite dimensional ℤ2-graded division algebras over ℂ and ℝ.
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