https://wiki.devclub.in/index.php?action=history&feed=atom&title=MTL738 2026-04-09T07:48:58Z Revision history for this page on the wiki MediaWiki 1.45.1 https://wiki.devclub.in/index.php?title=MTL738&diff=1637&oldid=prev 2026-03-04T10:14:40Z

<p>Creating course page via bot</p> <p><b>New page</b></p><div>{{Infobox Course<br /> | code = MTL738<br /> | name = Commutative Algebra<br /> | credits = 3<br /> | credit_structure = 3-0-0<br /> | pre_requisites = MTL105/MTL501<br /> | overlaps = <br /> }}<br /> <br /> == MTL738 : Commutative Algebra ==<br /> Revision of Rings and Ideals: Prime and maximal ideals. Chinese remainder theorem, Nilradical, Jacobson radical, operations on ideals, extension and contraction; Module, submodule, quotient module, sums and products, Nakayama&#039;s lemma; Homomorphism, kernel, cokernel, direct sum, direct product, universal properties, free module, exact sequences, tensor product of modules and its exactness property; Rings and modules of fractions and functorial properties of fractions; Primary decomposition; Integral dependence, going-up and going down theorems, valuation rings; Chain conditions, Noetherian rings, Artinian rings, discrete valuation ring and Dedikind domains, fractional ideals; Completion: filtration, graded rings and modules.</div>

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