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Lecture 40 : Hilbert Serre Theorem, by Dilip P. Patil

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Lecture 26 : Hilbert-Samuel Polynomial of a Local Ring, by Dilip P. Patil

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Examples of Finite Dimensional Vector Spaces, by Dilip P. Patil

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Examples of Subspaces (Continued), by Dilip P. Patil

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Lecture 60 : Dedekind Domains and Prime Factorization of Ideals, by Dilip P. Patil

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Lecture 51 : Existence of Algebraic Closure, by Dilip P. Patil

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Lecture 59 : Characterization of Dedekind Domain, by Dilip P. Patil

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Lecture 22 : Construction of Finite Fields, by Dilip P. Patil

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Lecture 11 : Modules of Finite Length (Contd), by Dilip P. Patil

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Lecture 54 : Galois Group of a Polynomial, by Dilip P. Patil

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Gauss Elimination, by Dilip P. Patil

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Lecture 20 : Some Examples and Characteristic of a Ring, by Dilip P. Patil

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Examples of Univariate Polynomials and Rational Functions, by Dilip P. Patil

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Computational Rules for Matrices, by Dilip P. Patil

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Lecture 37 : Reducibility of Cyclotomic Polynomials over Finite Fields, by Dilip P. Patil

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Introduction to Determinants, by Dilip P. Patil

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Lecture 56 : Discrete Valuation Ring (Contd), by Dilip P. Patil

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Review of Univariate Polynomials, by Dilip P. Patil

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Lecture 34 : Cyclotomic Extensions, by Dilip P. Patil

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Computational Rules for Determinants, by Dilip P. Patil

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Lecture 49 : Zeroes and Embeddings, by Dilip P. Patil

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Pigeonhole Principle in Linear Algebra, by Dilip P. Patil

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Lecture 57 : Characterization of Finite Separable Extension, by Dilip P. Patil

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Adjoint-Determinant Theorem, by Dilip P. Patil

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Lecture 46 : Complexes of Modules and Homology, by Dilip P. Patil

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Examples of Subspaces, by Dilip P. Patil

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Examples of Linear Maps, by Dilip P. Patil

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Lecture 27 : Filtration on a Module, by Dilip P. Patil

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Lecture 4 : Polynomial Rings, by Dilip P. Patil

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Lecture 3 : Motivation for Krulls Dimension, by Dilip P. Patil

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