Module NameDownloadDescriptionDownload Size
Ring theory basicsassignment1assignment187 kb
Ring theory basicsassignment1-solnassignment1-soln87 kb
Idealsassignment2assignment280 kb
Idealsassignment2-solnassignment2-soln136 kb
Module theory basicsassignment3assignment372 kb
Module theory basicsassignment3-solnassignment3-soln105 kb
Homomorphism and Nakayama’s Lemmaassignment 4assignment 480 kb
Homomorphism and Nakayama’s Lemmaassignment 4-solutionassignment 4-solution115 kb
Properties of Modulesassignment5assignment578 kb
Properties of Modulesassignment5-solnassignment5-soln118 kb
Localizationassignment6assignment685 kb
Localizationassignment6-solutionassignment6-solution122 kb
Localization and Integral dependenceassignment7assignment785 kb
Localization and Integral dependenceassignment7-solutionassignment7-solution112 kb
Going-up Theoremassignment8assignment852 kb
Going-up Theoremassignment8-solutionassignment8-solution114 kb
Going-down theorem and Chain conditionsassignment9assignment953 kb
Going-down theorem and Chain conditionsassignment9-solutionassignment9-solution54 kb
Properties of Noetherian ringsassignment10assignment1070 kb
Properties of Noetherian ringsassignment10-solutionassignment10-solution116 kb
Primary decomposition and Artinian ringsassignment11assignment1177 kb
Primary decomposition and Artinian ringsassignment11-solutionassignment11-solution98 kb
Noether Normalization and Hilbert’s Nullstellensatzassignment12assignment1276 kb
Noether Normalization and Hilbert’s Nullstellensatzassignment12-solutionassignment12-solution111 kb

Sl.No Chapter Name English
1Review of Ring TheoryPDF unavailable
2Review of Ring Theory (Ctd.)PDF unavailable
3Ideals in commutative ringsPDF unavailable
4Operations on idealsPDF unavailable
5Properties of prime idealsPDF unavailable
6Colon and Radical of idealsPDF unavailable
7Radicals, extension and contraction of idealsPDF unavailable
8Modules and homomorphismsPDF unavailable
9Isomorphism theorems and Operations on modulesPDF unavailable
10Operations on modules (Ctd.)PDF unavailable
11Module homomorphism and determinant trickPDF unavailable
12Nakayama’s lemma and exact sequencesPDF unavailable
13Exact sequences (Ctd.)PDF unavailable
14Homomorphisms and Tensor productsPDF unavailable
15Properties of tensor productsPDF unavailable
16Properties of tensor products (Ctd.)PDF unavailable
17Tensor product of AlgebrasPDF unavailable
18LocalizationPDF unavailable
19Localization (Ctd.)PDF unavailable
20Local propertiesPDF unavailable
21Further properties of localizationPDF unavailable
22Intergral dependencePDF unavailable
23Integral extensionsPDF unavailable
24Lying over and Going-up theoremsPDF unavailable
25Going-down theoremPDF unavailable
26Going-down theorem (Ctd.)PDF unavailable
27Chain conditionsPDF unavailable
28Noetherian and Artinian modulesPDF unavailable
29Properties of Noetherian and Artinian modules, Composition SeriesPDF unavailable
30Further properties of Noetherian and Artinian modules and ringsPDF unavailable
31Hilbert basis theorem and Primary decompositionPDF unavailable
32Primary decomposition (Ctd.)PDF unavailable
33Uniqueness of primary decompositionPDF unavailable
342nd Uniqueness theorem, Artinian ringsPDF unavailable
35Properties of Artinian ringsPDF unavailable
36Structure Theorem of Artinian ringsPDF unavailable
37Noether NormalizationPDF unavailable
38Hilberts NullstellensatzPDF unavailable


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2BengaliNot Available
3GujaratiNot Available
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