Having a name; called by a specific name; (depreciative) †so-called (obsolete).

Not properly so called; improper fraction: a fraction whose numerator is greater than (or equal to) its denominator, and whose value is therefore…

so styled or described by oneself or itself, without authorization from or endorsement by another; (usually implying that the speaker disagrees with…

Equal or the same in name (with something else) but not in reality; having a name, without the qualities it implies; nominal. Obsolete.

In attributive use (hyphenated): Called or designated by this name or term, but not properly entitled to it or correctly described by it. Also loosely…

So-called.

Styled or designated by this term or name, but not properly entitled to or correctly described by it; so-called, so-termed.