Core Algebra I

commutative diagram
Saunders Mac Lane
free group
Étienne Bézout
This course in algebra develops the foundation required by all graduate students in the mathematical sciences. Together, we will explore some fundamental algebraic structures including groups, commutative rings, and modules. A wide range of examples should also enhance your learning experience.
Gregory G. Smith (512 Jeffery Hall,
Tuesday at 13:00–14:30 on Zoom
Thursday at 13:00–14:30 on Zoom
Paolo Aluffi, Algebra: chapter 0, Graduate Studies in Mathematics 104, American Mathematical Society, Providence, RI, 2009.
David S. Dummit and Richard M. Foote, Abstract algebra, third edition, John Wiley & Sons, Inc., Hoboken, NJ, 2004.
Serge Lang, Algebra, revised third edition, Graduate Texts in Mathematics 211, Springer-Verlag, New York, 2002.