Hi, is a binary operation in E, C is a set defined as: I must determine the specifications of : associativity, commutativity, neutral element, inverse element... I found that is commutative but for the others i don't know how to do it.
Last edited by bhitroofen01; March 24th 2010 at 02:13 PM.
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Originally Posted by bhitroofen01 Hi, is a binary operation in E, C is a set defined as: I must determine the specifications of : associativity, commutativity, neutral element, inverse element... I found that is commutative but for the others i don't know how to do it. If E has an identity element (is that what you mean by "neutral element"?) then that identity element commutes with everything in E. If * is associative on E, then it's clearly associative on any subset of E. If y is in C and x is in E, then .
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