If G is a group, then© BrainMass Inc. brainmass.com September 21, 2018, 3:51 am ad1c9bdddf - https://brainmass.com/math/group-theory/groups-identities-inverses-102083
(1) Suppose that e and e' are both identity elements in G. Then, by group property (2), we have
ea= a , for every a in G.
In particular, ee' = ...
Identities and inverses are discussed. The expert identifies the elements of G for a group.