Concept
Ideal theory
Related lectures (53)
Polymer Collapse: Covolume and Free Energy
Explores polymer collapse, emphasizing covolume and free energy in the process.
Chinese Idempotent Constructions and Properties
Explores Chinese idempotent constructions and their properties, including ideals and product characterization.
Primary and Secondary Ideals
Covers the concept of primary and secondary ideals, focusing on uniqueness and invariance properties.
Rings: Operations and Ideals
Covers the operations and properties of rings, focusing on ideals and quotients.
Ring Homomorphisms and Ideals
Explores ring homomorphisms, bilateral ideals, ring features, and ideal operations.
Ring Operations: Ideals and Classes
Covers the operations in rings, ideals, classes, and quotient rings.
Completion of a Field: Algebraic Closure
Covers the completion of a field, focusing on algebraic closure and function convergence.
Commutative Algebra: Recollections
Covers fundamental concepts in commutative algebra, including rings, units, zero divisors, and local rings.
Geometric Primary Decomposition
Covers radical ideals, Nullstellensatz, primary ideals, and algebraic sets.
Congruence Relations in Rings
Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.