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Lecture
Rankine Cycles: Basics and Energy Balances
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Galois Theory: Dedekind Rings
Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.
Fractions of Rings
Explores the concept of fractions of rings and their uniqueness in ideals and quotients.
Dedekind Rings: Theory and Applications
Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.
Ideals and Representations
Covers ideals, representations, modules, and maximal ideals in associative algebras.
Commutative Algebra: Recollections
Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.
Cyclotomic Extensions: Norms, Ideals, and Primes
Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.
Geothermal Energy Systems: Principles and Applications
Provides an overview of geothermal energy systems, covering thermodynamic principles, heat pump technologies, and the classification of geothermal reservoirs.
Properties of Euclidean Domains
Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.
Properties of Euclidean Domains
Covers the properties of Euclidean domains and irreducible elements in polynomial rings.
Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
