Attribute indexes for ArcSDE - "name must be unique"

Hi,

I came across this text in the help text for Desktop 10:

"ArcSDE and file or personal geodatabases have a new index added for each unique index name. If an index name already exists, it must be dropped before it can be updated."

Being unaware of this, I have created attribute indexes for a few feature classes, and given the indexes the same name in each case. (I used ArcMAP, Feature Class Properties and added the indexes on the Indexes tab of each Feature Class). Is there something I have misunderstood? Shouldn't I be unable to add indexes with similar names in the same SDE database? Is this a fault in ArcMAP, or does "unique index name" mean something other than the name I provide when I add an attribute index to a feature class?

I would just like to get a clarification on this matter, so I'll know whether I have to keep track of the attribute names myself, to keep them unique. (I'm using ArcSDE 10.1.)

Regards,

Turid