Is there an equivalent of a for exhibition?

Yes, there are a few phrases that are equivalent to "for exhibition". Here are a few examples:

* as an exhibit: when something is on display for people to view.

* for display: when something is put out for people to see, especially in a shop or museum.

* for show: when something is done or presented in order to impress people.

* on show: when something is being displayed for people to view.

* on view: when something is available for people to see.