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Talk:Right group

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Incorrect definition

[edit]

One of the axioms in the definition given in the article was incorrect – it stated

"Left identity elements
For all , there is at least one left identity , also in , such that . Such element does not need to be unique."

However this is not the correct definition of a left identity element because the order of quantifiers is wrong; the above says , but it should be – that is, should not depend on . I have therefore corrected the article to read

"Left identity elements
There is at least one left identity in . That is, there exists an element such that for all in . Such an element does not need to be unique."