Temple University 3 credits MATH
This is the first semester of a year-long sequence in Abstract Algebra. Topics in group theory include group actions, the Sylow theorems, nilpotent and solvable groups, and free groups. Topics in ring theory include structure results on factorization and polynomial rings. The structure theorem for finitely generated modules over principal ideal domains is proved. Throughout, the theme of universal properties and basic category theory is developed.
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