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Oct 31, 2024
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2021-2022 Graduate Catalog [ARCHIVED CATALOG]
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MATH 612 - Abstract Algebra II
Credit Hours: 3
Lecture Hours: 3
Lab Hours: 0
A presentation of advanced topics in abstract algebra, including categories and functions, direct sums and free abelian groups, finitely generated abelian groups, commutative rings, localization, principal rings, direct products and sums of modules, homology sequence, Euler characteristic, Jordan-Holder Theorem, free algebras, tensor products, Noetherian rings and modules, extensions of rings, extension of homomorphisms, transcendental extension of homorphisms, Hilbert’s Nullstellensatz, algebraic sets, representations of finite groups, and semi-simplicity of group algebra.
Prerequisite: MATH 511
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