MATH 4340 - Honors Introduction to Algebra

(MQR)

Spring. 4 credits.

Forbidden Overlap: Students may not receive credit for both MATH 4320 and MATH 4340.
Prerequisite: MATH 4330 or permission of instructor. MATH 4330–MATH 4340 is recommended for undergraduates who plan to attend graduate school in mathematics. For a less theoretical course that covers subject matter similar to MATH 4340, see MATH 4320.

Staff.

Honors version of a course in abstract algebra, which treats the subject from an abstract and axiomatic viewpoint, including universal mapping properties. Topics include groups, groups acting on sets, Sylow theorems; rings, factorization: Euclidean rings, principal ideal domains and unique factorization domains, the structure of finitely generated modules over a principal ideal domain, fields, and Galois theory. The course emphasizes understanding the theory with proofs in both homework and exams. An optional computational component using the computer language GAP is available.