Funny how it gives me "the ancestors' memory" as wrong, suggesting instead the word ancestors without the apostrophe. Correct grammar includes the apostrophe.
This is a major glitch in the server. It's been reported and we hope it is fixed soon. It's really annoying but sometimes these machines let us down.
Is this an objective or a subjective genitive here? (Hope that are the correct expressions in English)
wow, we've been waiting over a year for an answer to your question. Let me guess at the answer: It depends on the context. This could mean either the ancestors' memory, or our memory of the ancestors. But no one cares about their memory any more, so it must mean our memory of them.