MAGIC073: Commutative Algebra

Course details

A core MAGIC course

Semester

Spring 2012
Monday, January 16th to Friday, March 23rd

Hours

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

Timetable

Wednesdays
11:05 - 11:55
Fridays
11:05 - 11:55

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

  • MK

    Dr Moty Katzman

    University
    University of Sheffield

Bibliography

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Assessment

Attention needed

Assessment information will be available nearer the time.

Files

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Lectures

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