PMATH 446/646: Commutative Algebra

Winter 2017

  • MWF 11:30--12:20 in RCH 205.

    Offine hours: Wednesday 1:00--2:30. Instructor: Jason Bell

    Syllabus We'll cover Module theory: classification of finitely generated modules over PIDs, exact sequences and tensor products, algebras, localisation, chain conditions. Primary decomposition, integral extensions, Noether's normalisation lemma, and Hilbert's Nullstellensatz. If time permits, other topics will be covered.

    Textbook: Eisenbud's Commutative Algebra

    These are lecture notes that have been cleaned up as much as they will this semester.

    Notes on the Hilbert basis theorem.

    Notes on the general Nullstellensatz.

    Coursework and Grades: Grades will be based on individual homework assignments (60%) and a final exam (40%).

    Final exam: held Wednesday, April 19, 2017 from 9:00 AM--11:30 AM in MC 4042.

    Assignment 1, Due January 27 in class: File

    Assignment 2, Due February 27 in class: File

    Assignment 3, Due March 17 in class: File

    Assignment 4, Due April 3 in class: File