there are many views and arguments on this. I'd say there is no "right" or "wrong". If you want to learn from it you can still play on, I personally prefer to resign on lost positions. Mainly because I'd hope my opponent would do the same.
In professional matches it would be strange to resume a lost game, but since most of us here aren't I'd say do what you like.
There have been a number of discussions in these forums lately related to players not resigning when they "should", etc. I was wondering: what do you consider the proper etiquette to be? Should a player resign as soon as their position becomes hopeless? Would you feel cheated if they resigned before you get to complete your Tal-like attack? Is there any sort of 'proper etiquette' on this at all?
I'll add my thoughts later, but first I want to know what the chess.com community thinks.