Refers to a non-proprietary or non-specific name for something, often contrasted with a proper noun or brand name.
The generic name of this medicine is acetaminophen.
Please call it by its common name, not the brand name.
固有名詞 is a proper noun (e.g., a specific person or place), whereas 一般名 is a common or generic name.
Compound of 一般 (ippan, 'general') and 名 (mei, 'name').