Explore BrainMass

Defining a group using axioms.

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

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.