Rings and Modules

Related lectures (32)

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Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.

Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.

Covers integral extensions in rings and modules, discussing properties and providing illustrative examples.

Explores rings, fields, ideals, and their properties in algebraic structures.

Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.

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

Covers the operations in rings, ideals, classes, and quotient rings.