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Axiom: Axiom of Existence of Inverse Elements

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In any group \((G,\ast)\), for each element \(a\in G\) there is an inverse element, denoted by \(a^{-1}\in G\), with \(a\ast a^{-1}=a^{-1}\ast a=e\), whereby \(e\) is the identity of \(G\).

References

[577] Knauer Ulrich: “Diskrete Strukturen - kurz gefasst”, Spektrum Akademischer Verlag, 2001


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