UCLA Algebra Qualifying Examination Solutions

These solutions were written by me in preparation for UCLA’s Algebra Qual Exam. I am very much indebted to my colleagues Bonsoon Lin, Alex Tong Lin and Alexander Wertheim for their help and support. Several of the solutions found here are either standard or were found online, but for the most part all have been written in my own words. These solutions are intentionally verbose as I intended for these solutions to be more expository than slick. Any and all errors are my own. Please email me at ykureh@math.ucla.edu with corrections, questions or comments.