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Extension of Domains
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Related lectures (32)
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Dimension Theory of Rings
Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.
Rings and Modules
Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
Magnetostatics: Magnetic Field and Force
Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.
Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
Assessment of Learning: Validity and Reliability
Explores the concepts of validity and reliability in assessment in higher education.
Ramification Theory: Residual Fields and Discriminant Ideal
Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.
Register Swapping Techniques
Covers register swapping techniques, consensus algorithms, and winner determination.
Ramification and Structure of Finite Extensions
Explores ramification and structure of finite extensions of Qp, including unramified extensions and Galois properties.
Dedekind Rings: Integral Extensions and Noetherian Rings
Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.
Galois Theory: Recap and Transitivity
Covers the recap of Galois theory and emphasizes the transitivity of Galois groups.