Lectures related to Rankine Cycles: Basics and Energy Balances

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

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

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

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

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

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

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

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

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