Prime ideal

Formal sciences
Mathematics
Number theory
Algebraic number theory

Formal sciences
Mathematics
Algebra
Abstract algebra

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (32)

Page 3 of 4

Primary Decomposition: Understanding Schemes

Explores primary decomposition and schemes in algebraic geometry, emphasizing the importance of working over non-algebraically closed fields and the concept of fibers of morphisms.

Cyclotomic Extensions: Norms, Ideals, and Primes

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Dimension Theory of Rings

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Field Properties: Irreducibility and Units

Covers the properties of fields, including irreducibility and units in polynomials.

Polynomials: Theory and Operations

Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.

Ideals in Commutative Rings

Covers the concept of ideals in commutative rings and their role in 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.

Chinese Remainder Theorem

Explores the Chinese remainder theorem in commutative rings and ideals, demonstrating its applications and relevance in finding unique solutions.

Dedekind Rings: Integral Extensions and Noetherian Rings

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

Primary and Secondary Ideals

Covers the concept of primary and secondary ideals, focusing on uniqueness and invariance properties.