What is this?

As you all know we have just had my cat a few weeks. She was sick when she came here and after some meds and a few days she was great and has been since. I am always around her and I never noticed this, but today mu husband noticed she had a few spots on her one on the front of each arm and one on her tummy. She is always licking the spots. She has only been here and at the pet store so I am not sure what it is, but I know it is not normal.. Have you all ever seen this? Sorry it's a bit fuzzy she was not happy that I was trying to take a picture :/

View media item 204334
As you all see it is red and scabby around the edges. Surely is cannot be ring worm :/

i recognized your screen name and looked at your other posts. it seems this guy has been ill since day 1. i would bring him to the vet and go over his diet because he might be malnourished and/or allergic to something (maybe u should switch back to what he was fed at the pet store?)

Ringworm is a possibility.  Please see a vet :-)

It looks like some sort of skin infection.  I would take her to the vet to find out what it is exactly and get it treated.

I would say either ringworm or hotspots.

Ringworm is such a hardy fungus, that it can stay in environments for years. So, even if it doesn't seem that she has been exposed, it is always possible. I fostered six cats with severe ringworm - not  fun! The treatment is cream and shampoo (though I used apple cider vinegar, diluted, and it worked just as well). The most important thing is keeping her, and anything she lays on, away from all other pets. 

Hotspots are areas on a cat or dog that really bother them (for some reason - sometimes the cause is never found). So, they lick it compulsively and it loses hair and is very red. In my opinion, the photo you posted looks more like a hotspot, than ringworm (the ringworms I have seen on cats are not strikingly red, but more like a patch of white scaly skin with no hair). I'm not sure the treatment of hotspots - I think a steroid cream. 

Please visit the vet, and let us know what the diagnosis is.