MAT 4141 Rings and Modules II
3 crédits
Mathematiques
Faculte des sciences
Noetherian and artinian modules and rings. Algebraic sets, vanishing ideals, Hilbert Basis Theorem, radical ideals, Hilbert Nullstellensatz. Localization of rings and modules. Tensor product of modules and algebras. Semisimple rings and modules, Schur’s lemma, Jacobson Density Theorem, Artin-Wedderburn Theorem. Short exact sequences, free modules, projective modules, injective modules, flat modules.
Volet:
Cours magistral
Exigences:
Prerequisites: MAT 3141 or MAT 3143 .
Terme proposées précédemment:
Automne
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