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Apr 19, 2024
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MATH 732 - Modern Algebra (3 units)
Groups, fields, linear dependence, linear transformations, Galois theory.
Units of Lecture: 3
Offered: Every Spring - Even Years
Student Learning Outcomes
Upon completion of this course, students will be able to:
1. 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).
2. demonstrate an advanced level of competency in commutative algebra (chain conditions, prime and primary ideals, primary decomposition, Jacobson radical, Hilbert Nullstellensatz).
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