These are beginner level references for Category theory, ones that can be read by students of Computer Science. I haven't had a chance to look at all of this material myself. Ones that I have looked at have been marked with a star. Things that I think are better beginner material have more stars. At the time of this writing I am an absolute beginner in category theory and to most of abstract mathematics (with possible exception of Set theory), hence take my opinions here as just that - beginner level opinions. Finally, material that has been recommended to me by some of my professors has been marked with a +.
Categories by T S Blyth (amazon) **
An Introduction to Categories in Computing by Barry Jay (PS file)
Category Theory for Computing Science by Michael Barr and Charles Wells (homepage of Charles Wells) (PS file of lecture notes) ++
Category Theory for Beginners by Steve Easterbrook (PDF slides)
Elements of Basic Category Theory by Alfio Martini (citeseer)
Computational Category Theory by D.E. Rydeheard and R.M. Burstall (PDF)
A Categorical Manifesto by Joseph A. Goguen (citeseer)
Basic Category Theory for Computer Scientists by Benjamin Pierce (amazon) *+
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