In the U.S at least. University is the combination of multiple colleges (it is also called schools). I.e college of agriculture, college of design, college, of liberal arts and sciences, college of engineering, college of business (School of business), or more or only technology related, etc.. So usually a business school is a part of a university My degree is from the college (school) of liberal arts and sciences at the university of ____. They have different naming conventions but mean the same thing (should at least). My university calls it College of business, so if you looked it up you would be directed to the college of business page which is a part of the university, others have So and so school of business. Hope that clears it up.

It may be part of the university, but simply called a business school. I can only speak from my own experience, but at my university, the University of Colorado, the business programs called themselves the Leeds School of Business. It was still a part of the University of Colorado, but just a different name for a smaller part. I can't say if that is true for the schools you are looking at, but it may be.