In This Package we have collection of test series of Modern Algebra and solution will be updated soon.
in every Test there will two part.
Part A: have MCQ (SECTION B) type questions.
Part B : have MSQ (Section- C) Type questions.
Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle, derangements. Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem, Euler’s Ø- function, primitive roots.Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclic groups, permutation groups, Cayley’s theorem, class equations, Sylow theorems. Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain, principal ideal domain, Euclidean domain.Polynomial rings and irreducibility criteria.
Fields, finite fields, field extensions, Galois Theory.
IN CSIR NET ASK QUESTIONS FORM Modern Algebra
Section B : 2-4
Section C: 5-7