UNIT 1:
Rings: Definition - Sub rings
Rings: Definition - Sub rings
Introduction to Groups , Definition , Properties
UNIT 2:
Problems based on factorization of polynomials
Problems based on factorization of polynomials
Factorization of polynomials over finite fields.
Problems based on irreducible polynomials
Problems based on irreducible polynomials
Irreducible polynomials over finite fields
Problems based on Rings and Polynomial Rings
UNIT 3:
Problems on Base - b and number patterns
Problems on Base - b and number patterns
Problems on Prime and composite numbers.
Fundamental theorem of arithmetic – LCM.
Problems based on Fundamental theorem
UNIT 4:
Chinese remainder theorem
Problems on divisibility application test
Divisibility Applications tests
Divisibility Applications tests
Linear Diophantine equations
UNIT 5:
Problems on Fermat’s Theorem
Problems On Eulers Theorem
Problems on Eulers Phi Function
Problems on Wilson Theorem
