Abstract Algebra I
Vladimir Ivanov
Syllabus of the course
Intoductory notes 1 – Maps of sets
Intoductory notes 2 – Equivalence Relation
Lecture 1 notes – Divisibility of Integers, Problem Set 1
Lecture 2 notes – Groups and Subgroups, Problem Set 2
Lecture 3 notes – Homomorphisms, Quotient Groups, Problem Set 3
Lecture 4 notes – Isomorphism Theorems, Problem Set 4
Sample Midterm Problems; Summary of Midterm Problems
Lecture 5 notes – Group Actions, Problem Set 5
Lecture 6 notes – Free Groups, Problem Set 6
Lecture 7 notes – Rings and Ideals
Appendix 1 – Category Theory Definitions
Recommended textbooks
- D.Dummit, R.Foote, Abstract Algebra, 3rd edition.
- J.Fraleigh, A First Course in Abstract Algebra, 7th edition.
- J.Gallian, Contemporary Abstract Algebra, 10th edition.
- C.Pinter, A Book of Abstract Algebra, 2nd edition.