Details of MA3203 (Spring 2020)
Level: 3  Type: Theory  Credits: 4.0 
Course Code  Course Name  Instructor(s) 

MA3203  Algebra II  Md. Ali Zinna 
Syllabus 

Rings: Rings, group of units, integral domains, fields, polynomial ring, quotient rings, ideals in quotient ring, ring homomorphisms, isomorphism theorems, prime ideals, maximal ideals, division in domains, g.c.d. and l.c.m., division algorithm, Euclidean domain, unique factorization domain, principal ideal domain.
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 

1. Artin, M., Algebra, PrenticeHall.
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, SpringerVerlag 
References 


Course Credit Options
Sl. No.  Programme  Semester No  Course Choice 

1  IP  2  Core 
2  IP  4  Not Allowed 
3  IP  6  Not Allowed 
4  MR  2  Not Allowed 
5  MR  4  Not Allowed 
6  MS  6  Core 
7  RS  1  Not Allowed 
8  RS  2  Not Allowed 