Handouts for Ring Theory Students

• A Cayley Representation Theorem for Rings(pdf)
• Categories and Functors(pdf)
• Projective and Injective Modules(pdf)
• Equivalence of Categories(pdf)
• A Fork in the Road(pdf)
• Modular Lattices(pdf)
• The Group Determinant(pdf)
• Basic Properties of Characters of Finite Groups(pdf)
• Introduction to Tensor Products(pdf)
• Algebraic Integers/Integrality Properties of Characters(pdf)