GROUPS, RINGS, AND MODULES
Group theory. Actions. Conjugacy, centralizers, and normalizers. Finite p-groups. Finite abelian groups. The Sylow theorems. Rings. Ideals and quotients. The isomorphism theorems. Types of rings. Factorization. Modules. Free modules. Matrices and modules. Module decomposition theorems. Normal forms of matrices.
Groups, Rings, and Modules, written by D. Chua, based on lectures by O. Randal-Williams, 2016, University of Cambridge.
Groups, Rings, and Modules, written by Q. Kuang, based on lectures by O. Randal-Williams, 2017, University of Cambridge.
Groups, Rings, and Modules, written by S. Pancratz, based on lectures by C. J. B. Brookes, 2005, University of Cambridge.
Rings and Modules, by T. Körner, 2004, University of Cambridge.
Rings and Modules, by T. Sanders, 2021, University of Oxford.
Rings and Modules, by R. Earl, 2019, University of Oxford.
18.703 Modern Algebra, by J. McKernan, 2013, Massachusetts Institute of Technology.
- With Solutions
- Without Solutions
Groups, Rings, and Modules, University of Cambridge, 2005-2021.Groups, Rings, and Modules, by O. Randal-Williams, 2016, University of Cambridge.
Rings and Modules, by T. Sanders, 2021, University of Oxford.
18.703 Modern Algebra, by J. McKernan, 2013, Massachusetts Institute of Technology.