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Remix and Share
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(Complete Item Description)
- Abstract:
In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem, integral dependence, Noether normalization, the Nullstellensatz, localization, primary decomposition, DVRs, filtrations, length, Artin rings, Hilbert polynomials, tensor products, and dimension theory.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
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MIT OpenCourseWare
Remix and Share
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(Complete Item Description)
- Abstract:
This course provides an introduction to algebraic number theory. Topics covered include dedekind domains, unique factorization of prime ideals, number fields, splitting of primes, class group, lattice methods, finiteness of the class number, Dirichlet's units theorem, local fields, ramification, discriminants.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
-
MIT OpenCourseWare
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