TITLE: A More Advanced Version of Aluffi's Chapter 0
QUESTION [6 upvotes]: This is a crosspost of this question from MSE.
Paulo Aluffi's Book, Algebra, Chapter 0 aims to teach basic algebra from a categorical viewpoint. The first chapters of the book, however, introduce groups and rings using only very basic categorical concepts (no general limits or adjoints). Is there a book which teaches algebra from a more advanced categorical point of view, in particular using general limits and adjoints? Is there a book which teaches algebra from the $n$POV?

REPLY [6 votes]: The closest I know for what you're looking for is Bergman's An Invitation to General Algebra and Universal Constructions, which can be downloaded here.  It is a simultaneous introduction to both universal algebra and universal constructions in category theory.  (Universal algebra generalizes both groups and rings, and it has a natural category-theoretic translation.)  
Nothing about the nPOV, though.