Modular Arithmetic: Operations and Properties

Related lectures (29)

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Covers modular arithmetic properties, computation examples, and commutative rings.

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.

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

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.

Explores operations on ideals and structure theorems in commutative rings.

Explains the definition and properties of integer multiplication in various scenarios.

Explores the properties of commutative rings and integral domains in algebra.