MAT 321 2.0 Abstract Algebra

Course:  MAT 321 2.0 Abstract Algebra (Compulsory)

Course Content:

A few Preliminary Remarks, The Integers, Mathematical Induction, Archimedian Property; Definitions and Examples of Groups, Some Simple Remarks, Commutative and non-commutative groups, The group of integers modulo n (Z_n , +), Subgroups, Lagrange’s Theorem, Homomorphisms and Normal Subgroups, Factor Groups, The Homomorphism Theorems; Definitions and Examples of Rings, Some Simple Results, Ideals, Quotient Rings, Homomorphisms(as a generalization of Homomorphism Theorems in groups); Definition and Examples of Fields, A Brief Excursion into Vector Spaces, Subfields, Field Homomorphisms, Fundamental Theorem of Algebra.

Recommend Readings:

1. 1. A First Course in Abstract Algebra, John B. Fraleigh
   2. Topics in Algebra,  I. N. Herstein
   3. Abstract Algebra, I. N. Herstein
   4. Algebra, Michael Artin
   5. Modern Algebra, Surjeet Singh & Qazi Zameeruddin
   6. Basic Abstract Algebra, P.B. Bhattacharya, S. K. Jain & S. R. Nagpaul