MAT 477 2.0 Module Theory

Course:  MAT 477 2.0 Module Theory (Compulsory)

Course Content:

Modules and Submodules, Quotient Modules, Cyclic Modules, Isomorphism Theorems, Homomorphisms, Exact Sequences, Chain Conditions, Local Modules, Free Modules, Direct Sums of Modules, Projective modules, Injective Modules, Tensor Products and Torsion Modules.

Recommended Readings:

1. 1. Algebra, Thomas W. Hungerford (any edition)
   2. A First Course in Module Theory by M. E. Keating
   3. A First Course in Abstract Algebra, John B. Fraleigh (any edition)
   4. Topics in Algebra, I. N. Herstein (any edition)
   5. Algebra, Michael Artin (any edition)
   6. Abstract Algebra, 3rd Edition: David S. Dummit, Richard M. Foote
   7. Lectures on Rings and Modules by J. Lambek, AMS Chealsea,1986