Talk:Right group: Difference between revisions
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Latest revision as of 04:25, 9 March 2024
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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."