Is there a theorem which says: If an operation on a set is associative then the set contains idempotent?
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"Contains idempotent" is never right to say. Which meaning are you trying to express with that combination of words? – hmakholm left over Monica May 01 '16 at 18:14
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Which other meaning there can be? – David Tsaturyan May 01 '16 at 18:16
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Other than what? Your words do not constitute a grammatical sentence. – hmakholm left over Monica May 01 '16 at 18:17
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What's the definition of idempotent? what other meaning there can be except the meaning of the definition? – David Tsaturyan May 01 '16 at 18:18
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1I'm asking YOU what you mean by the nonsense words "the set contains idempotent". That is not an English sentence! – hmakholm left over Monica May 01 '16 at 18:19
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I mean the algebraic structure defined on the set with an operation contains an idempotent element – David Tsaturyan May 01 '16 at 18:20
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In that case, please edit your question such that it is in English. – hmakholm left over Monica May 01 '16 at 18:21
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I thought it would be clear. – David Tsaturyan May 01 '16 at 18:21