Канал: Introduction to Commutative Algebra

Lecture 38 - Hilberts Nullstellensatz

Lecture 38 - Hilberts Nullstellensatz

Lecture 37 - Noether Normalization

Lecture 37 - Noether Normalization

Lecture 36 - Structure Theorem of Artinian Rings

Lecture 36 - Structure Theorem of Artinian Rings

Lecture 35 - Properties of Artinian Rings

Lecture 35 - Properties of Artinian Rings

Lecture 34 - Second Uniqueness Theorem, Artinian Rings

Lecture 34 - Second Uniqueness Theorem, Artinian Rings

Lecture 33 - Uniqueness of Primary Decomposition

Lecture 33 - Uniqueness of Primary Decomposition

Lecture 32 - Primary Decomposition (Continued)

Lecture 32 - Primary Decomposition (Continued)

Lecture 31 - Hilbert Basis Theorem and Primary Decomposition

Lecture 31 - Hilbert Basis Theorem and Primary Decomposition

Lecture 30 - Further Properties of Noetherian and Artinian Modules and Rings

Lecture 30 - Further Properties of Noetherian and Artinian Modules and Rings

Lecture 29 - Properties of Noetherian and Artinian Modules, Composition Series

Lecture 29 - Properties of Noetherian and Artinian Modules, Composition Series

Lecture 28 - Noetherian and Artinian Modules

Lecture 28 - Noetherian and Artinian Modules

Lecture 27 - Chain Conditions

Lecture 27 - Chain Conditions

Lecture 26 - Going Down Theorem (Continued)

Lecture 26 - Going Down Theorem (Continued)

Lecture 25 - Going Down Theorem

Lecture 25 - Going Down Theorem

Lecture 24 - Lying Over and Going up Theorems

Lecture 24 - Lying Over and Going up Theorems

Lecture 23 - Integral Extensions

Lecture 23 - Integral Extensions

Lecture 22 - Intergral Dependence

Lecture 22 - Intergral Dependence

Lecture 21 - Further Properties of Localization

Lecture 21 - Further Properties of Localization

Lecture 20 - Local Properties

Lecture 20 - Local Properties

Lecture 19 - Localization (Continued)

Lecture 19 - Localization (Continued)

Lecture 18 - Localization

Lecture 18 - Localization

Lecture 17 - Tensor Product of Algebras

Lecture 17 - Tensor Product of Algebras

Lecture 16 - Properties of Tensor Products (Continued)

Lecture 16 - Properties of Tensor Products (Continued)

Lecture 15 - Properties of Tensor Products

Lecture 15 - Properties of Tensor Products

Lecture 14 - Homomorphisms and Tensor Products

Lecture 14 - Homomorphisms and Tensor Products

Lecture 13 - Exact Sequences (Continued)

Lecture 13 - Exact Sequences (Continued)

Lecture 12 - Nakayama’s Lemma and Exact Sequences

Lecture 12 - Nakayama’s Lemma and Exact Sequences

Lecture 11 - Module Homomorphism and Determinant Trick

Lecture 11 - Module Homomorphism and Determinant Trick

Lecture 10 - Operations on Modules (Continued)

Lecture 10 - Operations on Modules (Continued)

Lecture 9 - Isomorphism Theorems and Operations on Modules

Lecture 9 - Isomorphism Theorems and Operations on Modules

Lecture 8 - Modules and Homomorphisms

Lecture 8 - Modules and Homomorphisms

Lecture 7 - Radicals, Extension and Contraction of Ideals

Lecture 7 - Radicals, Extension and Contraction of Ideals

Lecture 6 - Colon and Radical of Ideals

Lecture 6 - Colon and Radical of Ideals

Lecture 5 - Properties of Prime Ideals

Lecture 5 - Properties of Prime Ideals

Lecture 4 - Operations on Ideals

Lecture 4 - Operations on Ideals

Lecture 3 - Ideals in Commutative Rings

Lecture 3 - Ideals in Commutative Rings

Lecture 2 - Review of Ring Theory (Continued)

Lecture 2 - Review of Ring Theory (Continued)

Lecture 1 - Review of Ring Theory

Lecture 1 - Review of Ring Theory

Introduction to Commutative Algebra

Introduction to Commutative Algebra