Defining a group using axioms.
Define * on Z by a * b = max{a,b}. Is Z a group?
© BrainMass Inc. brainmass.com October 9, 2019, 4:18 pm ad1c9bdddfhttps://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.
$2.19