Modern Algebra

Lecture Notes

LEC #	TOPICS
1	Groups (PDF)
2	Subgroups (PDF)
3	Cosets (PDF)
4	Cyclic Groups (PDF)
5	Permutation Groups (PDF)
6	Conjugation in Sn (PDF)
7	Isomorphisms (PDF)
8	Homomorphisms and Kernels (PDF)
9	Quotient Groups (PDF)
10	The Isomorphism Theorems (PDF)
11	The Alternating Groups (PDF)
12	Presentations and Groups of Small Order (PDF)
13	Sylow Theorems and Applications (PDF)
14	Rings (PDF)
15	Basic Properties of Rings (PDF)
16	Ring Homomorphisms and Ideals (PDF)
17	Field of Fractions (PDF)
18	Prime amd Maximal Ideals (PDF)
19	Special Domains (PDF)
20	Euclidean Domains (PDF)
21	Polynomial Rings (PDF)
22	A Quick Primality Test (PDF)
23	Group Actions and Automorphisms (PDF)
24	Review [No lecture notes]