MATH 328Algebra III: Field and Galois Theory

Ön koşullar ve açtığı derslerkatalog: MATH 323 ve MATH 327

Ön koşullar STARS kataloğundaki ifadeden okunur; eş koşul, izin ve not şartları dahil değil. Kartın altındaki not o dersin başka neye ihtiyaç duyduğunu söyler.

Ders içeriği

Field Extensions, Algebraic Extensions, Classical Straightedge and Compass Constructions, Splitting Fields, Algebraic Closure, Separable and Inseparable Extensions, Cyclotomic Polynomials and Extensions, Galois Theory, the Fundamental Theorem of Galois Theory, Finite Fields, Composite Extensions, Simple Extensions, Abelian Extensions over Rationals, Galois Groups of Polynomials, Solvable and Radical Extensions, Insolvability of the Quintic, Computation of Galois Groups over Rationals, Transcendental Extensions, Infinite Galois Groups, Noetherian Rings, Affine Varieties, Hilbert's Nullstellensatz, Localization, the Prime Spectrum of a Ring, Artinian Rings, Discrete Valuation Rings, and Dedekind Domains.

Müfredatlarda1 program

• MatematikMathematics · lisansMATH Elective

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