Introduction To Commutative AlgebraBasic Books, 21.01.1969 - 128 Seiten This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read |
Inhalt
Modules | 17 |
Rings and Modules of Fractions | 36 |
Primary Decomposition | 50 |
Urheberrecht | |
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Andere Ausgaben - Alle anzeigen
Introduction To Commutative Algebra, Student Economy Edition Michael Atiyah Eingeschränkte Leseprobe - 2018 |
Häufige Begriffe und Wortgruppen
A-algebra a-filtration A-module homomorphism a₁ abelian group Artin ring Artinian b₁ Chapter closure coefficients composition series coprime Corollary Dedekind domain Deduce defined denote dimension equation exact sequence example Exercise exists field of fractions finitely generated A-module finitely-generated A-module following are equivalent fractional ideal graded ring Hausdorff hence induces injective integral domain integrally closed intersection inverse irreducible isomorphism Jacobson radical lemma Let f Let ƒ m/m² M₁ mapping maximal element maximal ideal minimal primary decomposition minimal prime ideal module morphism multiplicatively closed subset N₁ nilpotent nilradical Noetherian local ring Noetherian ring open sets p-primary p₁ polynomial ring power series primary decomposition primary ideals Proof Proposition Prove quotient resp ring and let ring homomorphism S-¹A S-¹M satisfies Show Spec submodule subring Suppose surjective tensor product Theorem topology unique valuation ring x₁ y₁ zero-divisor