MATH 341, Abstract Algebra

Course Documents

• Syllabus with Tentative Semester Schedule
• Day-by-day plans, with assignments: Unit 1, Unit 2, Unit 3
• Textbook Errata
• Textbook Corrections, Modifications to Exercises, and Hints for Students

Reading Questions

• Unit 1, Unit 2, Unit 3

Supplementary Notes

• The Definition of a Commutative Ring, hand-out for 4.3-II, Abstract Commutative Rings
• The Complex Numbers, Gaussian Integers, and Eisenstein Integers (Ch 3), to supplement 4.3-III, Units and Fields
• The Subring Criterion, to supplement 4.3-IV, Subrings and Subfields
• The Structure of the Integers (1.3, 2.1), to supplement 5.1-I, Domains
• Formal Polynomials and Polynomial Functions, to supplement 5.2
• Characterization and Uniqueness of GCDs in k[x], k a field, to supplement 6.1-III, GCDs, Euclid's Lemma, Euclidean Algorithm in k[x]
• Complex Powers and Roots (3.3), to supplement 6.2-II, Roots of Unity
• Examples of Algebraic Extensions, to supplement 7.2-II, Algebraic Extensions
• Galois Theorem, to supplement 7.2-IV, Splitting Fields and the Classification of Finite Fields

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