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    I ##\mathbb{C}\oplus\mathbb{C}\cong\mathbb{C}\otimes\mathbb{C}##

    Here, we are identifying one of the two complex fields as an extension of the reals with a solution to the equation x^2+1=0. We do so by adjoining the indeterminate x to the reals, and quotienting out by the ideal (x^2+1). Once we are at that stage, we use the primary purpose of tensors: to...
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