Course Archives Theoretical Statistics and Mathematics Unit | |||||||||||||||||||||||||||||||||||||||||||||||||||||||
Course: Algebra III Level: Undergraduate Time: Currently not offered |
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Syllabus Past Exams Syllabus: (Rings and Modules) Ring homomorphisms, quotient rings, adjunction of elements. Polynomial rings. Chinese remainder theorem and applications. Factorisation in a ring. Irreducible and prime elements, Euclidean domains, Principal Ideal Domains, Unique Factorisation Domains. Field of fractions, Gauss's lemma. Noetherian rings, Hilbert basis theorem. Finitely generated modules over a PID and their representation matrices. Structure theorem for finitely generated abelian groups. Rational form and Jordan form of a matrix. Top of the page Past Exams | |||||||||||||||||||||||||||||||||||||||||||||||||||||||
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[ Semester Schedule ][ SMU ] [Indian Statistical Institute] |