Algebraic Structures and Integers

Related lectures (29)

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Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Covers the properties of division in integers and the relationship between divisibility and unique quotients.

Introduces Cartesian product and induction for proofs using integers and sets.

Covers basic properties of natural numbers, including order relations and inverses.

Covers fundamental concepts related to integers, including properties of well-ordered sets and the principle of induction.

Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.