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This course is part of the MAGIC core.


Spring 2012 (Monday, January 16 to Friday, March 23)


  • Wed 11:05 - 11:55
  • Fri 11:05 - 11:55


No prerequisites information is available yet.


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)


Moty Katzman
Phone (0114) 2223710
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Photo of Bana Al Subaiei
Bana Al Subaiei
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Badr Alharbi
(East Anglia)
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Robin Allan
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Hawazin Alzahrani
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Yumi Boote
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Tom Brookfield
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Yu-Yen Chien
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Michael Cox
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Chris Draper
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Kostas Georgiadis
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Russell Goddard
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Tom Harris
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Heather Johnson
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Andrew Jones
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Alexandrou Maria
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Keith McCabe
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David OSullivan
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Heather Riley
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Ilia Roustemoglou
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David Ward
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David Wilding


Introduction to commutative algebraAtiyah and Macdonald
Steps in commutative algebraSharp
Commutative algebra with a view toward algebraic geometryEisenbud


Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will 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.)


No assessment information is available yet.

Non -singular points

Files:Exam paper
Deadline: Friday 30 March 2012 (1338.2 days ago)

Maximal chains of primes in polynomial rings

Files:Exam paper
Deadline: Friday 30 March 2012 (1338.2 days ago)