Am I correct to say that when we add a constraint to a table, such as for a primary key, that the name given has to be unique in the database? I have 120 tables where I have to define a constraint of type primary key and the field name is all Numero. So, all 120 tables have a field Numero. So, this means, if I do:

ALTER TABLE [Client] ADD CONSTRAINT Numero PRIMARY KEY (Numero)

that, it will work. But, doing another line following that one with:

ALTER TABLE [Country] ADD CONSTRAINT Numero PRIMARY KEY (Numero)

will not work because a constraint Numero already exists.

This irritates me because even if the field being defined as a primary key is Numero, the name that it will appear under under the Keys, Indexes and Statistics section would be the unique name I will have to give it. So, if I want to define the Numero field in all my tables as a primary key, is there a way to have it to be shown as Numero for each table under those 3 sections?