Here are a few quotes from X.509:[...]
1.
Section 7: "NOTE 1 – Although the _CAs are unambiguously defined by a distinguished name_
However, these arguments always start with the assumption that one is operating in a PKI in which there are multiple, independent CAs, all of which are considered to be valid CAs in the infrastructure and all of which have the same name. However, in a valid PKI, two different CAs will not have the same name. [...]