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Lecture 5 : Unit and Unit Groups, by Dilip P. Patil

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Lecture 19 : Digression on Groups, by Dilip P. Patil

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Dual Spaces (Continued), by Dilip P. Patil

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Introduction to Linear Maps, by Dilip P. Patil

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Lecture 2 : Examples of Fields, by Dilip P. Patil

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Examples of a Basis of a Vector Space, by Dilip P. Patil

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Lecture 7 : Zeroes of Polynomials, by Dilip P. Patil

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Lecture 42 : Correspondence of Normal SubGroups and Galois Sub-Extensions (Contd), by Dilip P. Patil

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Lecture 35 : Cyclotomic Polynomials, by Dilip P. Patil

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Lecture 7 : Primary Decomposition, by Dilip P. Patil

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Lecture 39 : Extension over a Fixed Field of a Finite subGroup is Galois Extension, by Dilip P. Patil

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Lecture 16 : Nagata’S Version of NNL, by Dilip P. Patil

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Existence of a Basis [Continued], by Dilip P. Patil

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Introduction to Algebraic Structures-Rings and Fields, by Dilip P. Patil

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Lecture 52 : Uniqueness of Algebraic Closure, by Dilip P. Patil

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Lecture 48 : Discriminant of a Polynomial, by Dilip P. Patil

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Generating System , Linear Independence and Bases, by Dilip P. Patil

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Lecture 43 : Inverse Galois Problem for Abelian Groups, by Dilip P. Patil

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Lecture 42 : Jacobian Matrix and its Rank (Contd), by Dilip P. Patil

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Lecture 55 : Discrete Valuation Ring, by Dilip P. Patil

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Lecture 17 : Theorem of Kronecker, by Dilip P. Patil

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Lecture 47 : Digression on Symmetric and Alternating Group, by Dilip P. Patil

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Definition of Subspaces, by Dilip P. Patil

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Elementary Operations on Matrices, by Dilip P. Patil

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System of Linear Equations, by Dilip P. Patil

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Lecture 36 : Irreducibility of Cyclotomic Polynomials over Q, by Dilip P. Patil

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Existence of a Basis (Continued), by Dilip P. Patil

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Homomorphism Theorem of Vector Spaces, by Dilip P. Patil

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Lecture 20 : Hilbert’S Nullstelensatz, by Dilip P. Patil

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Signature of a Permutation, by Dilip P. Patil

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