MATH 4340

Honors Introduction to Algebra

Course Description

Course information provided by the Courses of Study 2022-2023.

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.

When Offered Spring.

Prerequisites/Corequisites Prerequisite: MATH 4330.
Forbidden Overlaps Forbidden Overlap: due to an overlap in content, students will not receive credit for both MATH 3340 and MATH 4340.

Distribution Category (MQR-AS, SMR-AS)

Comments 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 3340.

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