Download Here: Solution to Algebra, Chapter 0.pdf
This is a solution manual for Paolo Aluffi's ALGEBRA, Chapter 0, a textbook that introduces abstract algebra using the language of categories. I find this approach to be particularly appealing. So I'm enthusiastic to share my solutions to the exercises in this book for others to reference.
As a beginner, I'm trying to make my proof explict and detailed, but unfortunately it seems verbose and tedious sometimes. Anyway, I would appreciate it if you can point out my mistakes, big or small.