Product of rings

Related lectures (31)

Page 3 of 4

Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.

Explores affine algebraic varieties, emphasizing the Zariski Topology and regular functions.

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

Explores direct products in group theory, including semi-direct products and group properties.

Covers the classification of finite abelian groups and the unique sequence of positive integers for isomorphism.

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

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Introduces algebraic structures essential for understanding mathematical objects used in science and engineering.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.