Courses Code: MTS 211
Course Title: ABSTRACT ALGEBRA
Number of unit : 2 UNITS
Course Duration:
COURSE DETAILS
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Office Lecturer: College of Natural Science, Department of Mathematical Science
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COURSE SYNOPSIS
PRQT MTS 101
Set: Binary operations, mappings, equivalence relations. Cartesian products. Number theory: Divisibility and primes, Fundamental theorem of arithmetic, congruencies, linear congruence equations, Euler’s function. Group theory: Definition and examples of groups. Subgroup, coset decomposition, Lagrange’s theorem, cyclic groups. Homomorphism, isomorphism, Permutations groups. Cayley’s theorem. Rings: Definition and examples of rings. Commutative rings. Integral domain, division rings. Fields, construction of the field of fractions of an integral domain and the embedding theorem.
MTS 211 – ABSTRACT ALGEBRA
