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| CATEGORIES ABOUT SIMPLE ALGEBRA | |
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Simple algebras (and Semi-simple Algebra s) were completely classified in 1907 by Joseph Wedderburn in his Doctoral Thesis with the title ''On hypercomplex numbers'' which appeared in the Proceedings Of The London Mathematical Society . In his thesis he showed that any simple algebra is isomorphic to a Matrix Algebra over some Division Ring . This result was later generalized to Semisimple Ring s in the Artin–Wedderburn Theorem EXAMPLES
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