In mathematical physics there are hypercomplex systems called Clifford algebras.
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It was matrix algebra that harnessed the hypercomplex systems.
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In 1907 Joseph Wedderburn showed that associative hypercomplex systems could be represented by matrices, or direct sums of systems of matrices.
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From that date the preferred term for a hypercomplex system became associative algebra as seen in the title of Wedderburn s thesis at University of Edinburgh.
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