Modular Arithmetic: Properties and Examples

Related lectures (29)

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Explains modular arithmetic operations and properties, including commutative rings and multiplicative inverses.

Covers commutative groups and their significance in cryptography.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Explores modular arithmetic and its role in the RSA cryptosystem for error detection.

Explores operations on ideals and structure theorems in commutative rings.

Explores modular arithmetic, emphasizing inverses and equations in Z/mZ, with practical examples and exercises.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Covers multiplicative functions, Dirichlet convolution, and the Mobius function in arithmetic functions.

Covers primary decomposition in commutative rings and its application in prime ideals.

Covers the basics of polynomials, focusing on rings, operations, and properties.