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    Defining a group using axioms.

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    Define * on Z by a * b = max{a,b}. Is Z a group?

    © BrainMass Inc. brainmass.com October 9, 2019, 4:18 pm ad1c9bdddf
    https://brainmass.com/math/group-theory/defining-group-axioms-28781

    Solution Preview

    No, Z is not a group under this definition.
    We can not find the identity of the group.
    If 0 is the identity, then (-1)*0=(-1). But by the definition, ...

    Solution Summary

    Group status is determined using axioms. The details are well presented in the solution.

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