Are all track cogs the same width?

I ask this because of a problem I am facing with a recent conversion. The bike was a mid 80s, 27" wheeled, 14 speed. With the rear wheel's freewheel removed there is not enough room to spin on a Dura-Ace cog and a BB lock ring. The cog fits ok, as will a BMX freewheel. Are there cogs that are thinner in width than the Dura-Ace?

This is the second time I've come across this situation.

Adker

I'm not sure of the quality, but I have a Surly cog that fits with a BB lockring (lockring only had like two threads engaged, but better than nothing) on a hub that was too shallow to accept a DA cog and a lockring. Good luck!

edit: I seem to remember someone telling me that Surly is changing their cogs to widen the base...maybe look for an old one?

no, different brands have differnet withdths and differnet chainlines.
once again Sheldon Brown comes to the rescue:
https://www.sheldonbrown.com/chainline/#chainline1