ANNA UNIVERSITY, CHENNAI
AFFILIATED INSTITUTIONS
REGULATIONS – 2017
CHOICE BASED CREDIT SYSTEM
MA8551 Algebra And Number Theory

UNIT I GROUPS AND RINGS   

 Homomorphism

 Lagrange’s theorem. Rings

Ring homomorphism.

UNIT II FINITE FIELDS AND POLYNOMIALS 

Rings

Factorization of polynomials over finite fields.

UNIT III DIVISIBILITY THEORY AND CANONICAL DECOMPOSITIONS 

Base – b representations

Prime and composite numbers

Euclidean algorithm

LCM.

UNIT IV DIOPHANTINE EQUATIONS AND CONGRUENCES 

Congruence‘s

Applications: Divisibility tests

2 x 2 linear systems.

UNIT V CLASSICAL THEOREMS AND MULTIPLICATIVE FUNCTIONS 

Fermat‘s little theorem

Euler‘s theorem

Tau and Sigma functions.

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