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Lecture
Rankine Cycles: Basics and Energy Balances
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Energy Conversion Systems: Composite Curves
Explains the use of composite curves in defining energy conversion systems and optimizing efficiency in industrial processes.
Idempotent Elements and Central Orthogonal
Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.
Polynomials, Division, and Ideals
Explores polynomials, their operations, and the concept of ideals in polynomial rings.
Hilberts Nullstellensatz and Ideals
Explores ideals with finite sets of points and Hilberts Nullstellensatz in algebraic fields.
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Ideal Class Group Relations
Covers the relations between the ideal class group and proper fractional ideals.
Dedekind Rings and Fractional Ideals
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Vapor Liquid Equilibrium and Pinch Analysis: Key Concepts
Covers vapor-liquid equilibrium and pinch analysis, focusing on thermodynamic principles and energy optimization in processes.
Congruence Relations in Rings
Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.
Algebraic Subsets of A^1
Covers algebraic subsets of A^1 and ideals with a finite set of points.