I have a small Sony bookshelf stereo in a basement. The AM antenna that came with it doesnt get all the AM stations I want. I have an antenna on the roof with RG6 between them, and it gets FM great.

Here's my question: can I mount an AM antenna on the roof, split into the RG6 to get down stairs and then split back out to hit the AM terminals on the stereo? Any ideas on how to make a remote AM antenna? Thanks.