Conte di Cavor,
Yes, Nikolayev was the shipbuilding place for all carriers in USSR. Ukaine benefits more so then Russia because it gets jobs, retains skills, and doesn't aggrivate Turkey.
I don't want to mislead anyone so I'll just say the following
There are roumours that a 'deal' as you say will be reached with Ukraine in regards to a whole lot of naval related issue after the very bitter break-up of the Black Sea Fleet involving...yes, you guessed it, gas (for heating, not oil for Americans) supplies.
The St Petersburg shipyard is 'suggesting' investmet to expand its production capabilities. I saw it suggested in a Russian forum that Germany may be invited to make that investment, but apparently Poles also want shipbuilding jobs in Gdansk.
What all this means, I don't know. There are a number of programms being proposed, from refitting to building, and from patrol vessels to the aircraft carriers which are a subject of the conversation here.
That is as it stands as far as I know. Quite frankly the Pacific Fleet for one can probably use more and modern patrol vessels or corvettes, or at least refit existing vessels to fully operational capability. It seems to me (if I was the ops officer in RPF) that I would want an aircraft carrier like a hole in the head
I can try and find out more if you are really interest.