Integrated MSc-PhD Program

SYLLABUS

KSMB03: Basic Algebra

 

Laws of Composition, Groups and Subgroups, Subgroups of the Additive Group of Integers, Cyclic Groups, Homomorphism, Isomorphisms, Equivalence Relations and Partitions, Cosets, Modular Arithmetic, The Correspondence Theorem, Product Groups, Quotient Group.

Suggested texts:

          1. Michael Artin, Algebra, Prentice Hall, Inc., Englewood Cliffs, NJ, 1991. (Chapter 2)