This is a crosspost of [this question](https://math.stackexchange.com/questions/1071068/a-more-advanced-version-of-aluffi) 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?



A More Advanced Version of Aluffi's Chapter 0
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](https://math.berkeley.edu/~gbergman/245/3.0.pdf). 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.


