MATH 5112 — Algebra 2
4 semester hoursGraduateLectureusually offered: falltypical days: W/ThBostonTraditional
Provides a comprehensive introduction to commutative algebra: rings and modules. Topics in commutative ring theory include ideals, prime and maximal ideals, ring homomorphisms, Euclidean domains, principal ideal domains, unique factorization domains, fields of quotients, polynomial rings, irreducibility criteria, and the Chinese Remainder Theorem. Topics in module theory include module homomorphisms, the structure theorem for modules over a PID and applications, and the Jordan and rational canonical forms.
Offering history
| Term | Sections | Enrolled | Capacity | Full | Open seats/section |
|---|---|---|---|---|---|
| Fall 2023 | 1 | 8 | 25 | 32% | 17.0 |
| Fall 2024 | 1 | 12 | 25 | 48% | 13.0 |
| Fall 2025 | 1 | 8 | 21 | 38% | 13.0 |
| Spring 2026 | 1 | 6 | 21 | 29% | 15.0 |
Snapshots from scheduled scrapes — not live seat availability. "Full" can exceed 100% when sections over-enroll.
Meeting times
Share of recent sections by weekday: M 41% · T 24% · W 76% · Th 53% · F 0%
Common patterns: WR (35% of sections), MW (24% of sections), T (24% of sections), MWR (18% of sections) — in patterns, R means Thursday
Professors
Fall
- Iva Halacheva (71% of students) · reviews
- Alexander Martsinkovsky (29% of students) · reviews
Spring
- Alexandra Pevzner (100% of students) · reviews
Percentages are each professor's average share of the season's enrolled students in recent terms.
Unlocks
MATH 7312, MATH 7314, MATH 7315, MATH 7316, MATH 7359, MATH 7360, MATH 8460
Courses that list MATH 5112 in their prerequisites.
Links
Official catalog (MATH course descriptions) · Student reviews on RateMyHusky · All MATH courses · Plan it at numap.app