| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Motivation for K-algebraic sets | Download |
| 2 | Definitions and examples of Affine Algebraic Set | Download |
| 3 | Rings and Ideals | Download |
| 4 | Operation on Ideals | Download |
| 5 | Prime Ideals and Maximal Ideals | Download |
| 6 | Krull's Theorem and consequences | Download |
| 7 | Module, submodules and quotient modules | Download |
| 8 | Algebras and polynomial algebras | Download |
| 9 | Universal property of polynomial algebra and examples | Download |
| 10 | Finite and Finite type algebras | Download |
| 11 | K-Spectrum (K-rational points) | Download |
| 12 | Identity theorem for Polynomial functions | Download |
| 13 | Basic properties of K-algebraic sets | Download |
| 14 | Examples of K-algebraic sets | Download |
| 15 | K-Zariski Topology | Download |
| 16 | The map V L | Download |
| 17 | Noetherian and Artinian Ordered sets | Download |
| 18 | Noetherian induction and Transfinite induction | Download |
| 19 | Modules with Chain Conditions | Download |
| 20 | Properties of Noetherian and Artinian Modules | Download |
| 21 | Examples of Artinian and Noetherian Modules | Download |
| 22 | Finite modules over Noetherian Rings | Download |
| 23 | Hilbert’s Basis Theorem(HBT) | Download |
| 24 | Consequences of HBT | Download |
| 25 | Free Modules and rank | Download |
| 26 | More on Noetherian and Artinian modules | Download |
| 27 | Ring of Fractions(Localization) | Download |
| 28 | Nil radical, contraction of ideals | Download |
| 29 | Universal property of S -1 A | Download |
| 30 | Ideal structure in S -1 A | Download |
| 31 | Consequences of the Correspondence of Ideals | Download |
| 32 | Consequences of the Correspondence of Ideals(Contd.) | Download |
| 33 | Modules of Fraction and universal properties | Download |
| 34 | Exactness of the functor S -1 | Download |
| 35 | Universal property of Modules of Fractions | Download |
| 36 | Further properties of Modules and Module of Fractions | Download |
| 37 | Local-Global Principle | Download |
| 38 | Consequences of Local-Global Principle | Download |
| 39 | Properties of Artinian Rings | Download |
| 40 | Krull-Nakayama Lemma | Download |
| 41 | Properties of I K and V L maps | Download |
| 42 | Hilbert’s Nullstelensatz | Download |
| 43 | Hilbert’s Nullstelensatz(Contd.) | Download |
| 44 | Proof of Zariski’s Lemma(HNS 3) | Download |
| 45 | Consequences of HNS | Download |
| 46 | Consequences of HNS(Contd.) | Download |
| 47 | Jacobson Ring and examples | Download |
| 48 | Irreducible subsets of Zariski Topology(Finite type K-algebra) | Download |
| 49 | Spec functor on Finite type K-algebras | Download |
| 50 | Properties of Irreducible topological spaces | Download |
| 51 | Zariski Topology on arbitrary commutative rings | Download |
| 52 | Spec functor on arbitrary commutative rings | Download |
| 53 | Topological properties of Spec A | Download |
| 54 | Example to support the term “Spectrum” | Download |
| 55 | Integral Extensions | Download |
| 56 | Elementwise characterization of Integral extensions | Download |
| 57 | Properties and examples of Integral extensions | Download |
| 58 | Prime and Maximal ideals in integral extensions | Download |
| 59 | Lying over Theorem | Download |
| 60 | Cohen-Siedelberg Theorem | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Motivation for K-algebraic sets | Download Verified |
| 2 | Definitions and examples of Affine Algebraic Set | Download Verified |
| 3 | Rings and Ideals | Download Verified |
| 4 | Operation on Ideals | Download Verified |
| 5 | Prime Ideals and Maximal Ideals | Download Verified |
| 6 | Krull's Theorem and consequences | Download Verified |
| 7 | Module, submodules and quotient modules | Download Verified |
| 8 | Algebras and polynomial algebras | Download Verified |
| 9 | Universal property of polynomial algebra and examples | Download Verified |
| 10 | Finite and Finite type algebras | Download Verified |
| 11 | K-Spectrum (K-rational points) | Download Verified |
| 12 | Identity theorem for Polynomial functions | Download Verified |
| 13 | Basic properties of K-algebraic sets | Download Verified |
| 14 | Examples of K-algebraic sets | Download Verified |
| 15 | K-Zariski Topology | Download Verified |
| 16 | The map V L | Download Verified |
| 17 | Noetherian and Artinian Ordered sets | Download Verified |
| 18 | Noetherian induction and Transfinite induction | Download Verified |
| 19 | Modules with Chain Conditions | Download Verified |
| 20 | Properties of Noetherian and Artinian Modules | Download Verified |
| 21 | Examples of Artinian and Noetherian Modules | Download Verified |
| 22 | Finite modules over Noetherian Rings | Download Verified |
| 23 | Hilbert’s Basis Theorem(HBT) | Download Verified |
| 24 | Consequences of HBT | Download Verified |
| 25 | Free Modules and rank | Download Verified |
| 26 | More on Noetherian and Artinian modules | Download Verified |
| 27 | Ring of Fractions(Localization) | Download Verified |
| 28 | Nil radical, contraction of ideals | Download Verified |
| 29 | Universal property of S -1 A | Download Verified |
| 30 | Ideal structure in S -1 A | Download Verified |
| 31 | Consequences of the Correspondence of Ideals | Download Verified |
| 32 | Consequences of the Correspondence of Ideals(Contd.) | Download Verified |
| 33 | Modules of Fraction and universal properties | Download Verified |
| 34 | Exactness of the functor S -1 | Download Verified |
| 35 | Universal property of Modules of Fractions | Download Verified |
| 36 | Further properties of Modules and Module of Fractions | Download Verified |
| 37 | Local-Global Principle | Download Verified |
| 38 | Consequences of Local-Global Principle | Download Verified |
| 39 | Properties of Artinian Rings | Download Verified |
| 40 | Krull-Nakayama Lemma | Download Verified |
| 41 | Properties of I K and V L maps | Download Verified |
| 42 | Hilbert’s Nullstelensatz | Download Verified |
| 43 | Hilbert’s Nullstelensatz(Contd.) | Download Verified |
| 44 | Proof of Zariski’s Lemma(HNS 3) | Download Verified |
| 45 | Consequences of HNS | Download Verified |
| 46 | Consequences of HNS(Contd.) | Download Verified |
| 47 | Jacobson Ring and examples | Download Verified |
| 48 | Irreducible subsets of Zariski Topology(Finite type K-algebra) | Download Verified |
| 49 | Spec functor on Finite type K-algebras | Download Verified |
| 50 | Properties of Irreducible topological spaces | Download Verified |
| 51 | Zariski Topology on arbitrary commutative rings | Download Verified |
| 52 | Spec functor on arbitrary commutative rings | Download Verified |
| 53 | Topological properties of Spec A | Download Verified |
| 54 | Example to support the term “Spectrum” | Download Verified |
| 55 | Integral Extensions | Download Verified |
| 56 | Elementwise characterization of Integral extensions | Download Verified |
| 57 | Properties and examples of Integral extensions | Download Verified |
| 58 | Prime and Maximal ideals in integral extensions | Download Verified |
| 59 | Lying over Theorem | Download Verified |
| 60 | Cohen-Siedelberg Theorem | 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 |