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Ideals and PPCM
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Related lectures (32)
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Polynomials on a Field: Properties and Applications
Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.
Properties of Euclidean Domains
Covers the properties of Euclidean domains and irreducible elements in polynomial rings.
Ideals and Representations
Covers ideals, representations, modules, and maximal ideals in associative algebras.
Polynomials: Theory and Operations
Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.
Chinese Remainder Theorem: Rings and Fields
Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.
Ring Operations: Ideals and Classes
Covers the operations in rings, ideals, classes, and quotient rings.
Ring Constructions: Structure Theorems
Explores operations on ideals and structure theorems in commutative rings.
Dimension Theory of Rings
Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.
Finite Fields and Group Theory
Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].
Polynomials, Division, and Ideals
Explores polynomials, their operations, and the concept of ideals in polynomial rings.