Just having fun here... the opposite direction would be "Moje žena zná jejího muže", right?
Sounds like some monkey business is going on between these couples!
Also Její muž zná mou ženu is correct, isn't it?
Yes, it is correct! :-)
Why are there so many words for possesion :(
To keep us in a permanent state of confusion for several months? :-)
Does “znát” have a perfective form? Děkuji!
Why not "mojou zenu"?
You need the feminine accusative (4.pád) - moji, mou.