MATH 4340 — Honors Introduction to Algebra
General Information
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.
Full Cornell course description (SP26)
Credits: 4
Prerequisites and Enrollment
Prerequisites: MATH 4330.
Forbidden overlaps: MATH 3340, MATH 4340
Recorded Offerings
| Semester | Listed instructors | Course details |
|---|---|---|
| Spring 2026 | Martin Kassabov | Roster / syllabus |
Workload and General Advice
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Course information checked against Cornell’s Spring and Fall 2026 rosters on September 18, 2026. The listed semesters are verified examples, not a complete offering history.