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Related lectures (23)
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Regularity and Noetherian Local Rings
Covers the concepts of regularity and Noetherian local rings in algebraic structures.
Cartier Divisors and Invertible Sheaves
Covers Cartier divisors, invertible sheaves, and their properties in algebraic geometry.
Symbolic Powers: Interpretation and Applications
Covers the interpretation and applications of symbolic powers in algebraic structures, focusing on Krull's Hauptideal Satz and Noetherian rings.
Integral Domains: Factorisation and Noetherian Rings
Explores factorisation in Principal Ideal Domains and Noetherian rings, emphasizing the integral closure concept and the factorisation of ideals in Dedekind rings.
Irreducible Factors and Noetherian Rings
Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.
Discrete Valuation Rings
Explores discrete valuation rings, their properties, uniqueness of representation, and relationship with principal ideal domains.
Commutative Algebra: Recollections
Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.
Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
Algebraic Structures: Modules and Morphisms
Explores modules, sub-modules, and morphisms in algebraic structures.
Module Theory: Definitions and Examples
Introduces the definition and examples of A-modules, including sub-modules and ideals.
