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Thu, 17th-Jan-2013, 12:09 AM	BnetId: Prometheus Race: Location: Melbourne, Australia Total Posts Made: 156 # 11
mGGPrometheus Tourneys Joined: 4	I don't think you can derive commutativity from only closure, associativity, identity and inverses. For example consider the general linear group consisting of nxn matrices with nonzero determinant. - It is closed (multiplying two matrices with nonzero determinant results in a matrix with nonzero determinant) - It is associative (matrix multiplication is associative) - It has an identity - It has inverses And yet any two matrices in the general linear group need not commute. ___________________________________ mGGTitan [NA ] (HotS) Previously known as mGGTitan "We are terran. We never surrender. We always fight 'till the end." - Empire Kas
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