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Rings That are Nearly Associative
Posted on 2010-03-16
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More Until thirty years into this century the theory of rings developed mainly as the theory of associative rings. However, even in the middle of the last century there arose mathematical systems that satisfied all the axioms of a ring except associativity. For example, the algebra of Cayley numbers, which was constructed in 1845 by the English mathematician Arthur Cayley, is such a system. An identity found by Degen in 1818, which represents the product of two sums of eight squares again in the form of a sum of eight squares, was rediscovered by means of this algebra. My Links To thank me use my links, please!
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