← Theoretical / proof-based

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In this program

Rings: definitions and examples (Z, polynomial rings, matrix rings)
Integral domains, fields, and ideals
Quotient rings and ring homomorphisms
Polynomial rings
Field extensions
Constructibility (introduction)

Rings and fields

Integral domains, fields, and ideals

Abstract algebra · Theoretical / proof-based

Topic

Integral domains, fields, and ideals

Practice by unit: Rings and fields

Undergraduate Abstract Algebra — scope drawn from open algebra texts (e.g. Judson Abstract Algebra: Theory and Applications, AIM-approved) and typical US undergraduate algebra syllabi.

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