Overview
Description
Groups, fields, linear dependence, linear transformations, Galois theory.
Units
Lecture3
Catalog Details
Offering
Offered: Every Spring - Even Years
Terms
spring
Attributes
Standard
Learning Outcomes
- demonstrate an advanced level of competency in Galois theory (field extensions, splitting fields, algebraic closure, normality, Galois group of a polynomial, finite fields,separability, cyclotomic extensions, radical extensions).
- demonstrate an advanced level of competency in commutative algebra (chain conditions, prime and primary ideals, primary decomposition, Jacobson radical, Hilbert Nullstellensatz).