Integral Closures: Eisenstein Primes

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Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Introduces Noetherian modules and explores simple modules and composition series.

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Explores flat groups of automorphisms and their properties, including minimization functions and invariance under specific conditions.

Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.