Details of MA4101 (Autumn 2026)
| Level: 4 | Type: Theory | Credits: 4.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| MA4101 | Field and Galois Theory | Md. Ali Zinna |
| Syllabus |
|---|
| Fields:
Fields, field of fractions, field extensions, algebraic extensions, degree of an extension, splitting fields, normal extensions, separable extensions, finite fields. Galois Theory: Galois extensions, automorphism groups and fixed fields, fundamental theorem of Galois theory and applications, cyclic extensions, cyclotomic polynomials, solvable groups, solvability by radicals, constructibility of regular polygons, transcendental extensions. |
| Prerequisite |
|---|
| Algebra II (MA3203) |
| References |
|---|
| Suggested Texts:
1. Artin, M., Algebra, Prentice-Hall 2. Artin, E., Algebra with Galois Theory, Courant Lecture Notes. 3. Gopalkrishnan, N.S., University Algebra, New Age International Press. 4. Lang, S., Algebra, Springer. 5. Morandi, P., Field and Galois Theory, Springer-Verlag |
Course Credit Options
| Sl. No. | Programme | Semester No | Course Choice |
|---|---|---|---|
| 1 | IP | 1 | Not Allowed |
| 2 | IP | 3 | Not Allowed |
| 3 | MP | 1 | Not Allowed |
| 4 | MP | 3 | Elective |
| 5 | MR | 1 | Not Allowed |
| 6 | MR | 3 | Not Allowed |
| 7 | MS | 3 | Not Allowed |
| 8 | MS | 5 | Not Allowed |
| 9 | MS | 7 | Elective |
| 10 | MS | 9 | Elective |
| 11 | RS | 1 | Elective |
| 12 | RS | 2 | Elective |