MATH 4340

MATH 4340

Course information provided by the 2026-2027 Catalog.

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, Euclidean domains, factorization, structure theorem of finitely generated modules over a principal ideal domain; fields, root adjunction, finite fields, introduction to Galois theory. The course emphasizes understanding the theory with proofs in both homework and exams. 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.


Prerequisites MATH 4330.

Forbidden Overlaps MATH 3340, MATH 4340

Distribution Requirements (MQL-AG, OPHLS-AG), (SMR-AS)

Last 4 Terms Offered 2026SP, 2025SP, 2024SP, 2023SP

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Syllabi: none
  •   Regular Academic Session.  Choose one lecture and one project.

  • 4 Credits Stdnt Opt

  • 16025 MATH 4340   LEC 001

    • TR
    • Jan 25 - May 11, 2027
    • Dozier, B

  • Instruction Mode: In Person

  • 16026 MATH 4340   PRJ 601

    • Jan 25 - May 11, 2027
    • Dozier, B

  • Instruction Mode: In Person