MAGIC073: Commutative Algebra

Course details

A core MAGIC course

Semester

Autumn 2013
Monday, October 7th to Saturday, December 14th

Hours

Live lecture hours
20
Recorded lecture hours
0
Total advised study hours
0

Timetable

Tuesdays
12:05 - 12:55
Fridays
12:05 - 12:55

Description

Prerequisites

No prerequisites information is available yet.

Syllabus



Detailed Syllabus


Basic concepts: commutative rings, ideals, quotient rings, homomorphisms and algebras. (3 lecture)


Modules: homomorphisms, quotients and generating sets. (3 lecture)


Module finite extensions, Noether's Normalization Theorem and the weak form of Hilbert's Nullstellensatz. (4 lectures)


Localization. (3 lectures)


Noetherian rings and Hilbert's Basis Theorem. (3 lectures)


Primary decomposition of ideals. (1 lecture)


Algebraic sets: irreducible algebraic sets, the strong form of Hilbert's Nullstellensatz, and dimension (3 lectures)

Lecturer

  • NS

    Prof Neil Strickland

    University
    University of Sheffield

Bibliography

Follow the link for a book to take you to the relevant Google Book Search page

You may be able to preview the book there and see links to places where you can buy the book. There is also link marked 'Find this book in a library' - this sometimes works well, but not always - you will need to enter your location, but it will be saved after you do that for the first time.

Assessment

Description

The assessment for this course will be via a single take-home paper in January and with 2 weeks to complete and submit online. The intention is that a student who has studied throughout the term will be able to pass by spending 3 hours on the exam.

Assessment not available

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Files

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Lectures

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