A complement to Daniel Dinnyes' answer:
On a non-identifying relationship, you can't have the same Primary Key column (let's say, "ID") twice with the same value.
However, with an identifyinig relationship, you can have the same value show up twice for the "ID" column, as long as it has a different "otherColumn_ID" Foreign Key value, because the primary key is the combination of both columns.
Note that it doesn't matter if the FK is "non-null" or not! ;-)