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I'm looking for a textbook that covers all of the standard undergrad algebra topics but from a more modern perspective. For example, most books reprove the isomorphism theorems for groups, rings, modules, instead of showing that all of these structures are universal algebras. Ideally the text would emphasize recurring themes that unify the subject and make the details follow easily instead of being arbitrary.
Has anyone had any experience with Mac Lane & Birkhoff's book Algebra or Aluffi's book Algebra: Chapter 0?
Has anyone had any experience with Mac Lane & Birkhoff's book Algebra or Aluffi's book Algebra: Chapter 0?