Dimension theory of rings

Related lectures (32)

Page 3 of 4

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

Covers ideals, representations, modules, and maximal ideals in associative algebras.

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

Explores local rings, Noetherian rings, and minimal primes in the context of integral domains.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Explores the construction of quotient rings and the properties of well-defined operations within rings.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.

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