Lectures related to Rankine Cycles: Basics and Energy Balances

Chemical Equilibria and Reactivity

Explores gas properties, pressure, ideal and real gases, energy in reactions, and gas laws.

Irreducible Factors and Noetherian Rings

Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.

Ring Operations: Ideals and Classes

Covers the operations in rings, ideals, classes, and quotient rings.

Principal Ideal Domains: Structure and Homomorphisms

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Localization and Ideals

Covers the concept of localization and ideals in rings, focusing on extended and contracted ideals, integral extensions, and monic equations.

Untitled

Chinese Idempotent Constructions and Properties

Explores Chinese idempotent constructions and their properties, including ideals and product characterization.

Generators of Ideals

Explores the calculation of generators of ideals and their significance in mathematical operations.

Ideals and PPCM

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

Chinese Remainder Theorem: Rings and Fields

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

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.

Untitled

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.