MA 312                      COMMUTATIVE ALGEBRA                      JAN -- APRIL 2015

Professor D. P. Patil
E-mails :

This course is open to all students/faculty who are interested in learning the basics of Commutative Algebra.  The main aim of this course is the study of commutative noetherian rings, particularly, polynomial and power series rings with coefficients in the ring of integers or fields, and their quotient rings.

Starting with a short recapitulation of the basic facts of Rings and Modules (with proofs), some classical as well as modern material will be covered. The focus of the lectures will be on motivating examples, concepts and results which emerged from the two main sources Algebraic Number Theory and Algebraic Geometry. The emphasis will be given to motivate the development of important concepts using as many examples as possible. These examples will range from routine to fairly sophisticated theoretical ones.

Efforts will be made to keep the required prerequisites as low as possible. However, some exposure to Linear Algebra/Algebra/Topology will be helpful.  

Time Table 

Day Time 
Tuesday 11:00 -- 12:30 
Department of Mathematics,  LH3/ LH1
Thursday 11:00 -- 12:30 
 Department of Mathematics,  LH3/ LH1