https://wiki.devclub.in/index.php?action=history&feed=atom&title=MTL105 2026-04-09T07:50:14Z Revision history for this page on the wiki MediaWiki 1.45.1 https://wiki.devclub.in/index.php?title=MTL105&diff=1586&oldid=prev 2026-03-04T10:13:57Z

<p>Creating course page via bot</p> <p><b>New page</b></p><div>{{Infobox Course<br /> | code = MTL105<br /> | name = Algebra<br /> | credits = 3<br /> | credit_structure = 3-0-0<br /> | pre_requisites = <br /> | overlaps = MTL501<br /> }}<br /> <br /> == MTL105 : Algebra ==<br /> Preliminaries: Equivalence relations and partitions. Groups: Subgroups, Cyclic groups, Abelian groups, permutation groups; Langrange&#039;s theorem, normal subgroups, quotient groups, isomorphism theorems. Direct product of groups, structure theorem of finitely generated abelian groups, Sylow&#039;s theorems and applications.Rings: Definition and examples, units and zero divisors. Ideals and quotients, principal ideals, prime ideals, maximal ideals, integral domain, PID, Euclidean domain, UFD. Modules over a commutative ring with unity: Free module, quotient module, exact sequences. Fields: Finite fields, field extensions, splitting fields.</div>

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