Celebrex generic name?

What is the generic name for Celebrex?

Celebrex’s active ingredient (generic drug name) is celecoxib [1].

Are there different “generic names” depending on the product?

No. Whether you see “Celebrex” or a generic product, the generic (nonproprietary) name is still celecoxib [1].

Is celecoxib an anti-inflammatory?

Yes. Celecoxib is a nonsteroidal anti-inflammatory drug (NSAID) used for conditions such as arthritis and pain/inflammation [1].

Sources:
[1] https://www.drugs.com/celebrex.html