Mathematics
MATH 4576: Rings and Fields
Lecture - 4 credits
ND
EI
IC
FQ
SI
AD
DD
ER
WF
WD
WI
EX
CE
- Introduces commutative rings, ideals, integral domains, fields, and the theory of extension fields.
- Topics include Gaussian integers, Galois groups, and the fundamental theorem of Galois theory.
- Applications include the impossibility of angle-trisection and the general insolvability of fifth- and higher-degree polynomials.
- Other topics are covered as time permits.
Introduces commutative rings, ideals, integral domains, fields, and the theory of extension fields. Show more.
Pre-requisites