The equipment obtained from the same instance usually has the same name.
Take the Corpse King Shield for example, it can be dropped in normal instances, elite mode, and certainly in master mode.
But while they all carry the same name, Corpse King Shield, their properties differ greatly.
Therefore, there is a note attached to the name of the Corpse King Shield. If it's from normal mode it simply called Corpse King Shield, whereas if it's from elite mode, it would be marked Elite.
Though the name is the same, its quality and properties can vary greatly.
The main-line instances drop rare equipment main-line instances are quite popular because they are relatively easy to obtain and very effective, making them highly sought after by players.