Division Rings and Ideals

Related lectures (32)

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

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

Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.

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

Covers the concept of localization in algebra, focusing on making a ring multiplicative closed.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Explores the additivity of dimension and height in a finitely generated k-algebra domain, showcasing its applications and implications.

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

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

Introduces ring theory, covering definitions, examples, and subrings criteria.

Explores factorisation in Principal Ideal Domains and the properties of prime numbers.

Covers the concept of ideals in polynomial rings and their properties.

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