Introduction to Commutative Algebra

Lecture 38 - Hilberts Nullstellensatz

Introduction to Commutative Algebra

Lecture 37 - Noether Normalization

Introduction to Commutative Algebra

Lecture 36 - Structure Theorem of Artinian Rings

Introduction to Commutative Algebra

Lecture 35 - Properties of Artinian Rings

Introduction to Commutative Algebra

Lecture 34 - Second Uniqueness Theorem, Artinian Rings

Introduction to Commutative Algebra

Lecture 33 - Uniqueness of Primary Decomposition

Introduction to Commutative Algebra

Lecture 32 - Primary Decomposition (Continued)

Introduction to Commutative Algebra

Lecture 31 - Hilbert Basis Theorem and Primary Decomposition

Introduction to Commutative Algebra

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

Introduction to Commutative Algebra

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

Introduction to Commutative Algebra

Lecture 28 - Noetherian and Artinian Modules

Introduction to Commutative Algebra

Lecture 27 - Chain Conditions

Introduction to Commutative Algebra

Lecture 26 - Going Down Theorem (Continued)

Introduction to Commutative Algebra

Lecture 25 - Going Down Theorem

Introduction to Commutative Algebra

Lecture 24 - Lying Over and Going up Theorems

Introduction to Commutative Algebra

Lecture 23 - Integral Extensions

Introduction to Commutative Algebra

Lecture 22 - Intergral Dependence

Introduction to Commutative Algebra

Lecture 21 - Further Properties of Localization

Introduction to Commutative Algebra

Lecture 20 - Local Properties

Introduction to Commutative Algebra

Lecture 19 - Localization (Continued)

Introduction to Commutative Algebra

Lecture 18 - Localization

Introduction to Commutative Algebra

Lecture 17 - Tensor Product of Algebras

Introduction to Commutative Algebra

Lecture 16 - Properties of Tensor Products (Continued)

Introduction to Commutative Algebra

Lecture 15 - Properties of Tensor Products

Introduction to Commutative Algebra

Lecture 14 - Homomorphisms and Tensor Products

Introduction to Commutative Algebra

Lecture 13 - Exact Sequences (Continued)

Introduction to Commutative Algebra

Lecture 12 - Nakayama’s Lemma and Exact Sequences

Introduction to Commutative Algebra

Lecture 11 - Module Homomorphism and Determinant Trick

Introduction to Commutative Algebra

Lecture 10 - Operations on Modules (Continued)

Introduction to Commutative Algebra

Lecture 9 - Isomorphism Theorems and Operations on Modules

Introduction to Commutative Algebra