Ring Theory: Definitions and Examples

Related lectures (32)

Page 3 of 4

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.

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

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Introduces the definition and examples of A-modules, including sub-modules and ideals.

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

Discusses Fermat's equation and Gaussian integers' properties.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Covers non-degenerate integral quadratic lattices and adèles, including their properties and definitions.

Covers the classification theorem for finite abelian groups and introduces rings, including zero divisors and domains.