Details of MA3102 (Autumn 2018)

Level: 5 Type: Theory Credits: 4.0

Course CodeCourse NameInstructor(s)
MA3102 Algebra I Somnath Basu

Syllabus

  • Groups : Definition of groups, subgroups, group homomorphisms and isomorphisms, normal subgroups, quotient groups, Lagrange's theorem, isomorphism theorems, direct sum of abelian groups, direct products, group actions, conjugacy classes, orbits and stabilizers, class equations, symmetric groups, simple groups, simplicity of $A_n$ with $n>4$, Sylow's theorems, classification of finitely generated abelian groups.
  • Rings : Definition of ring with examples, homomorphism theorems, ideals (definition and examples).

References


  1. Artin, M., Algebra, Prentice-Hall.
  2. Dummit, D.S. and Foote, R.M., Abstract Algebra, Wiley.
  3. Fraleigh, J.B., A First Course in Abstract Algebra, Narosa Publishers.
  4. Gopalakrishnan, N.S., University Algebra, New Age International.
  5. Herstein, I.N., Topics in Algebra, Wiley.
  6. Hungerford, T.W., Algebra, Springer-Verlag.
  7. Musili, C., Introduction to Rings and Modules, Narosa Publishers.
  8. Malik, D.S., Mordeson, J.M. and Sen, M.K., Fundamentals of Abstract Algebra, McGraw-Hill.


Course Credit Options

Sl. No.ProgrammeSemester NoCourse Choice
1 IP 1 Core
2 IP 3 Not Allowed
3 IP 5 Not Allowed
4 MR 1 Not Allowed
5 MR 3 Not Allowed
6 MS 5 Core
7 RS 1 Not Allowed
8 RS 2 Not Allowed