These are notes on Algebra. Much of this will, at least in the beginning, be taken up by commutative algebra lemmas to support theorems in Algebraic Geometry. That being said, as I learn more algebra, I hope to improve these notes to include more non-commutative algebra.
Commutative Algebra
These are my notes on commutative algebra, in part to support Algebraic Geometry, and in part because I think the subject is neat.
Basic Commutative Ring Theory
Here we provide some crucial defininitions and lemmas for the theory of commutative rings. All rings are commutative with unity; all homomorphisms of rings take 1 to 1.
Group Theory
These are my notes on group theory.
Notes - Nonommutative Algebra
These are my notes on noncommutative algebra (if I ever learn any).