課程概述 |
Groups : quotient groups, Isomorphism Theorems, examples, cyclic groups,
generators and relations, group actions, Sylow’s Theorem
Rings : polynomial rings, matrix rings, rings of algebraic integers, quaternion algebra, Euclidean domains, UFD, Gauss Lemma,
Modules : Fundamental Theorem of finitely generated abelian groups, Jordan normal forms and rational normal forms
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