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Mar 19, 2018 at 22:33 comment added safak In which sense a functor poses a question? For example, what is the problem posed by the functor $M\rightarrow M\otimes_A B$?
Jan 2, 2011 at 3:49 comment added QcH In the last section, should it be $\mathrm{Spec}(\mathbb{Z}[t])$ instead?
Nov 23, 2009 at 23:42 history edited Andrew Critch CC BY-SA 2.5
typo; added 15 characters in body
Nov 23, 2009 at 20:41 history edited Andrew Critch CC BY-SA 2.5
added a note
Nov 23, 2009 at 19:34 comment added marc Just to emphasize on part of this response, note that an adjoint pair provides a global solution (category-wide) as opposed to a local solution provided by universal maps. So universality is more general, in that if the universal map exists for every object in the category, the family of universal maps can be used to define an adjoint.
Nov 23, 2009 at 10:43 history edited Andrew Critch CC BY-SA 2.5
elaboration
Nov 23, 2009 at 10:37 history edited Andrew Critch CC BY-SA 2.5
elaborated; deleted 7 characters in body
Nov 23, 2009 at 10:14 history answered Andrew Critch CC BY-SA 2.5