Commutative Algebra (MAGIC073)
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This course is part of the MAGIC core.
Spring 2012 (Monday, January 16 to Friday, March 23)
No prerequisites information is available yet.
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)
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No assessment information is available yet.
Non -singular points
Maximal chains of primes in polynomial rings
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