Course Archives Theoretical Statistics and Mathematics Unit

Course: Commutative Algebra Level: Undergraduate Time: Currently not offered

Syllabus Past Exams Syllabus: Prime ideals and primary decompositions, Ideals in polynomial rings, Hilbert basis theorem, Noether normalisation theorem, Hilbert’s Nullstellensatz, Tensor product of modules, Localization, Noetherian and Artinian modules, Cayley-Hamilton trick and Nakayama lemma, Elementary dimension theory. Reference Texts: 1. M. Atiyah and I.G. MacDonald: Commutative Algebra. 2. J. Harris: Algebraic Geometry. 3. I. Shafarervich: Basic Algebraic Geometry. 4. W. Fulton: Algebraic curves. 5. M. Reid: Undergraduate Commutative Algebra. Top of the page Past Exams

Midterm 25.pdf Semestral 25.pdf Supplementary and Back Paper 25.pdf Top of the page

[ Semester Schedule ][ SMU ] [Indian Statistical Institute]