| Module Name | Download |
|---|---|
| noc19_ma16-assessmentid-106 | noc19_ma16-assessmentid-106 |
| noc19_ma16-assessmentid-110 | noc19_ma16-assessmentid-110 |
| noc19_ma16-assessmentid-114 | noc19_ma16-assessmentid-114 |
| noc19_ma16-assessmentid-122 | noc19_ma16-assessmentid-122 |
| noc19_ma16-assessmentid-123 | noc19_ma16-assessmentid-123 |
| noc19_ma16-assessmentid-126 | noc19_ma16-assessmentid-126 |
| noc19_ma16-assessmentid-8 | noc19_ma16-assessmentid-8 |
| noc19_ma16-assessmentid-81 | noc19_ma16-assessmentid-81 |
| noc19_ma16-assessmentid-96 | noc19_ma16-assessmentid-96 |
| noc19_ma16-assessmentid-97 | noc19_ma16-assessmentid-97 |
| noc19_ma16-assessmentid-99 | noc19_ma16-assessmentid-99 |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Lecture 1 : Zariski Topology and K-Spectrum | Download Verified |
| 2 | Lecture 2 : Algebraic Varieties and Classical Nullstelensatz | Download Verified |
| 3 | Lecture 3 : Motivation for Krulls Dimension | Download Verified |
| 4 | Lecture 4 : Chevalleys dimension | Download Verified |
| 5 | Lecture 5 : Associated Prime Ideals of a Module | Download Verified |
| 6 | Lecture 6 : Support of a Module | Download Verified |
| 7 | Lecture 7 : Primary Decomposition | Download Verified |
| 8 | Lecture 8 : Primary Decomposition(Contd) | Download Verified |
| 9 | Lecture 9 : Uniqueness of Primary Decomposition | Download Verified |
| 10 | Lecture 10 : Modules of Finite Length | Download Verified |
| 11 | Lecture 11 : Modules of Finite Length(Contd) | Download Verified |
| 12 | Lecture 12 : Introduction to Krull’s Dimension | Download Verified |
| 13 | Lecture 13 : Noether Normalization Lemma(Classical Version) | Download Verified |
| 14 | Lecture 14 : Consequences of Noether Normalization Lemma | Download Verified |
| 15 | Lecture 15 : Nil Radical and Jacobson Radical of Finite type Algebras over a Field and digression of Integral Extension | Download Verified |
| 16 | Lecture 16 : Nagata’s version of NNL | Download Verified |
| 17 | Lecture 17 : Dimensions of Polynomial ring over Noetherian rings | Download Verified |
| 18 | Lecture 18 : Dimension of Polynomial Algebra over arbitrary Rings | Download Verified |
| 19 | Lecture 19 : Dimension Inequalities | Download Verified |
| 20 | Lecture 20 : Hilbert’s Nullstelensatz | Download Verified |
| 21 | Lecture 21 : Computational rules for Poincaré Series | Download Verified |
| 22 | Lecture 22 : Graded Rings, Modules and Poincaré Series | Download Verified |
| 23 | Lecture 23 : Hilbert-Samuel Polynomials | Download Verified |
| 24 | Lecture 24 : Hilbert-Samuel Polynomials(Contd) | Download Verified |
| 25 | Lecture 25 : Numerical Function of polynomial type | Download Verified |
| 26 | Lecture 26 : Hilbert-Samuel Polynomial of a Local ring | Download Verified |
| 27 | Lecture 27 : Filtration on a Module | Download Verified |
| 28 | Lecture 28 : Artin-Rees Lemma | Download Verified |
| 29 | Lecture 29 : Dimension Theorem | Download Verified |
| 30 | Lecture 30 : Dimension Theorem(Continued) | Download Verified |
| 31 | Lecture 31 : Consequences of Dimension Theorem | Download Verified |
| 32 | Lecture 32 : Generalized Krull’s Principal Ideal Theorem | Download Verified |
| 33 | Lecture 33 : Second proof of Krull’s Principal Ideal Theorem | Download Verified |
| 34 | Lecture 34 : The Spec Functor | Download Verified |
| 35 | Lecture 35 : Prime ideals in Polynomial rings | Download Verified |
| 36 | Lecture 36 : Characterization of Equidimensional Affine Algebra | Download Verified |
| 37 | Lecture 37 : Connection between Regular local rings and associated graded rings | Download Verified |
| 38 | Lecture 38 : Statement of the Jacobian Criterion for Regularity | Download Verified |
| 39 | Lecture 39 : Hilbert function for Affine Algebra | Download Verified |
| 40 | Lecture 40 : Hilbert Serre Theorem | Download Verified |
| 41 | Lecture 41 : Jacobian Matrix and its Rank | Download Verified |
| 42 | Lecture 42 : Jacobian Matrix and its Rank(Contd) | Download Verified |
| 43 | Lecture 43 : Proof of Jacobian Critrerion | Download Verified |
| 44 | Lecture 44 : Proof of Jacobian Critrerion(Contd) | Download Verified |
| 45 | Lecture 45 : Preparation for Homological Dimension | Download Verified |
| 46 | Lecture 46 : Complexes of Modules and Homology | Download Verified |
| 47 | Lecture 47 : Projective Modules | Download Verified |
| 48 | Lecture 48 : Homological Dimension and Projective module | Download Verified |
| 49 | Lecture 49 : Global Dimension | Download Verified |
| 50 | Lecture 50 : Homological characterization of Regular Local Ring(RLR) | Download Verified |
| 51 | Lecture 51 : Homological characterization of Regular Local Ring(Contd) | Download Verified |
| 52 | Lecture 52 : Homological Characterization of Regular Local Rings(Contd) | Download Verified |
| 53 | Lecture 53 : Regular Local Rings are UFD | Download Verified |
| 54 | Lecture 54 : RLR-Prime ideals of height 1 | Download Verified |
| 55 | Lecture 55 : Discrete Valuation Ring | Download Verified |
| 56 | Lecture 56 : Discrete Valuation Ring(Contd) | Download Verified |
| 57 | Lecture 57 : Dedekind Domains | Download Verified |
| 58 | Lecture 58 : Fractionary Ideals and Dedekind Domains | Download Verified |
| 59 | Lecture 59 : Characterization of Dedekind Domain | Download Verified |
| 60 | Lecture 60 : Dedekind Domains and prime factorization of ideals | Download Verified |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Download |
| 2 | Bengali | Not Available |
| 3 | Gujarati | Not Available |
| 4 | Hindi | Not Available |
| 5 | Kannada | Not Available |
| 6 | Malayalam | Not Available |
| 7 | Marathi | Not Available |
| 8 | Tamil | Not Available |
| 9 | Telugu | Not Available |