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Utkal University, Odisha, Mathematics Semester 4, Ring Theory Syllabus
Ring Theory Lecture notes | Videos | Free pdf Download | Previous years solved question papers | MCQs | Question Banks| Syllabus
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Unit - 2 Prime And Maximal Ideals
Unit 2
Prime and maximal ideals
2.1 Prime and maximal ideals
2.2 Ring homomorphisms properties of ring homomorphisms
2.3 Isomorphism theorems I II and III field of quotients
Unit - 3 Polynomial Rings Over Commutative Rings
Unit 3
Polynomial rings over commutative rings
3.1 Polynomial rings over commutative rings
3.2 Division algorithm and consequences
3.3 Principal ideal domains
3.4 Factorization of polynomials
3.5 Reducibility tests irreducibility tests
3.6 Eisenstein criterion
3.7 Unique factorization in Z[x]
Unit - 4 Divisibility In Integral Domains
Unit 4
Divisibility in integral domains
4.1 Divisibility in integral domains
4.2 Irreducibles
4.3 Primes
4.4 Unique factorization domains
4.5 Euclidean domains
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