Integers and Rings

Related lectures (28)

Page 1 of 3

Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.

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

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Covers the extension of addition and multiplication operations in rational numbers.

Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.

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

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

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 function composition and integers, including properties and examples.