Modules / Lectures
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noc20_ma20_assessment_id_Week_1noc20_ma20_assessment_id_Week_1
noc20_ma20_assessment_id_Week_10noc20_ma20_assessment_id_Week_10
noc20_ma20_assessment_id_Week_11noc20_ma20_assessment_id_Week_11
noc20_ma20_assessment_id_Week_12noc20_ma20_assessment_id_Week_12
noc20_ma20_assessment_id_Week_2noc20_ma20_assessment_id_Week_2
noc20_ma20_assessment_id_Week_3noc20_ma20_assessment_id_Week_3
noc20_ma20_assessment_id_Week_4noc20_ma20_assessment_id_Week_4
noc20_ma20_assessment_id_Week_5noc20_ma20_assessment_id_Week_5
noc20_ma20_assessment_id_Week_6noc20_ma20_assessment_id_Week_6
noc20_ma20_assessment_id_Week_7noc20_ma20_assessment_id_Week_7
noc20_ma20_assessment_id_Week_8noc20_ma20_assessment_id_Week_8
noc20_ma20_assessment_id_Week_9noc20_ma20_assessment_id_Week_9


Sl.No Chapter Name MP4 Download
1Motivation for K-algebraic setsDownload
2Definitions and examples of Affine Algebraic SetDownload
3Rings and IdealsDownload
4Operation on IdealsDownload
5Prime Ideals and Maximal IdealsDownload
6Krull's Theorem and consequencesDownload
7Module, submodules and quotient modulesDownload
8Algebras and polynomial algebrasDownload
9Universal property of polynomial algebra and examplesDownload
10Finite and Finite type algebrasDownload
11K-Spectrum (K-rational points)Download
12Identity theorem for Polynomial functionsDownload
13Basic properties of K-algebraic setsDownload
14Examples of K-algebraic setsDownload
15K-Zariski TopologyDownload
16The map V LDownload
17Noetherian and Artinian Ordered setsDownload
18Noetherian induction and Transfinite inductionDownload
19Modules with Chain ConditionsDownload
20Properties of Noetherian and Artinian ModulesDownload
21Examples of Artinian and Noetherian ModulesDownload
22Finite modules over Noetherian RingsDownload
23Hilbert’s Basis Theorem(HBT)Download
24Consequences of HBTDownload
25Free Modules and rankDownload
26More on Noetherian and Artinian modulesDownload
27Ring of Fractions(Localization)Download
28Nil radical, contraction of idealsDownload
29Universal property of S -1 ADownload
30Ideal structure in S -1 ADownload
31Consequences of the Correspondence of IdealsDownload
32Consequences of the Correspondence of Ideals(Contd.)Download
33Modules of Fraction and universal propertiesDownload
34Exactness of the functor S -1Download
35Universal property of Modules of FractionsDownload
36Further properties of Modules and Module of FractionsDownload
37Local-Global PrincipleDownload
38Consequences of Local-Global PrincipleDownload
39Properties of Artinian RingsDownload
40Krull-Nakayama LemmaDownload
41Properties of I K and V L mapsDownload
42Hilbert’s NullstelensatzDownload
43Hilbert’s Nullstelensatz(Contd.)Download
44Proof of Zariski’s Lemma(HNS 3)Download
45Consequences of HNSDownload
46Consequences of HNS(Contd.)Download
47Jacobson Ring and examplesDownload
48Irreducible subsets of Zariski Topology(Finite type K-algebra)Download
49Spec functor on Finite type K-algebrasDownload
50Properties of Irreducible topological spacesDownload
51Zariski Topology on arbitrary commutative ringsDownload
52Spec functor on arbitrary commutative ringsDownload
53Topological properties of Spec ADownload
54Example to support the term “Spectrum”Download
55Integral ExtensionsDownload
56Elementwise characterization of Integral extensionsDownload
57Properties and examples of Integral extensionsDownload
58Prime and Maximal ideals in integral extensionsDownload
59Lying over TheoremDownload
60Cohen-Siedelberg TheoremDownload

Sl.No Chapter Name English
1Motivation for K-algebraic setsDownload
Verified
2Definitions and examples of Affine Algebraic SetDownload
Verified
3Rings and IdealsDownload
Verified
4Operation on IdealsDownload
Verified
5Prime Ideals and Maximal IdealsDownload
Verified
6Krull's Theorem and consequencesDownload
Verified
7Module, submodules and quotient modulesDownload
Verified
8Algebras and polynomial algebrasDownload
Verified
9Universal property of polynomial algebra and examplesDownload
Verified
10Finite and Finite type algebrasDownload
Verified
11K-Spectrum (K-rational points)Download
Verified
12Identity theorem for Polynomial functionsDownload
Verified
13Basic properties of K-algebraic setsDownload
Verified
14Examples of K-algebraic setsDownload
Verified
15K-Zariski TopologyDownload
Verified
16The map V LDownload
Verified
17Noetherian and Artinian Ordered setsDownload
Verified
18Noetherian induction and Transfinite inductionDownload
Verified
19Modules with Chain ConditionsDownload
Verified
20Properties of Noetherian and Artinian ModulesDownload
Verified
21Examples of Artinian and Noetherian ModulesDownload
Verified
22Finite modules over Noetherian RingsDownload
Verified
23Hilbert’s Basis Theorem(HBT)Download
Verified
24Consequences of HBTDownload
Verified
25Free Modules and rankDownload
Verified
26More on Noetherian and Artinian modulesDownload
Verified
27Ring of Fractions(Localization)Download
Verified
28Nil radical, contraction of idealsDownload
Verified
29Universal property of S -1 ADownload
Verified
30Ideal structure in S -1 ADownload
Verified
31Consequences of the Correspondence of IdealsDownload
Verified
32Consequences of the Correspondence of Ideals(Contd.)Download
Verified
33Modules of Fraction and universal propertiesDownload
Verified
34Exactness of the functor S -1Download
Verified
35Universal property of Modules of FractionsDownload
Verified
36Further properties of Modules and Module of FractionsDownload
Verified
37Local-Global PrincipleDownload
Verified
38Consequences of Local-Global PrincipleDownload
Verified
39Properties of Artinian RingsDownload
Verified
40Krull-Nakayama LemmaDownload
Verified
41Properties of I K and V L mapsDownload
Verified
42Hilbert’s NullstelensatzDownload
Verified
43Hilbert’s Nullstelensatz(Contd.)Download
Verified
44Proof of Zariski’s Lemma(HNS 3)Download
Verified
45Consequences of HNSDownload
Verified
46Consequences of HNS(Contd.)Download
Verified
47Jacobson Ring and examplesDownload
Verified
48Irreducible subsets of Zariski Topology(Finite type K-algebra)Download
Verified
49Spec functor on Finite type K-algebrasDownload
Verified
50Properties of Irreducible topological spacesDownload
Verified
51Zariski Topology on arbitrary commutative ringsDownload
Verified
52Spec functor on arbitrary commutative ringsDownload
Verified
53Topological properties of Spec ADownload
Verified
54Example to support the term “Spectrum”Download
Verified
55Integral ExtensionsDownload
Verified
56Elementwise characterization of Integral extensionsDownload
Verified
57Properties and examples of Integral extensionsDownload
Verified
58Prime and Maximal ideals in integral extensionsDownload
Verified
59Lying over TheoremDownload
Verified
60Cohen-Siedelberg TheoremDownload
Verified


Sl.No Language Book link
1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available