MTS 211 Course Synopsis

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

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