Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Quizes
Exercises
Publications
Startups
Units
Show all results for
Home
Lecture
Chinese Remainder Theorem: Rings and Fields
Graph Chatbot
Related lectures (39)
Polynomials on a Field: Properties and Applications
Log in to Mediaspace to watch this video
Explores the properties and applications of polynomials on a field, including formal derivation and uniqueness.
Polynomials: Theory and Operations
Log in to Mediaspace to watch this video
Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.
Division Rings and Ideals
Log in to Mediaspace to watch this video
Explores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.
Simple Modules: Schur's Lemma
Log in to Mediaspace to watch this video
Covers simple modules, endomorphisms, and Schur's lemma in module theory.
Division Rings and Ideals
Log in to Mediaspace to watch this video
Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.
Idempotent Elements and Central Orthogonal
Log in to Mediaspace to watch this video
Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.
Construction of Quotient Rings
Log in to Mediaspace to watch this video
Explores the construction of quotient rings and the properties of well-defined operations within rings.
Irreducible Factors and Noetherian Rings
Log in to Mediaspace to watch this video
Discusses irreducible factors in rings and the properties of Noetherian rings.
Rings and Ideals
Log in to Mediaspace to watch this video
Explores rings, domains, fields, and ideals, with a focus on constructions and properties.
Chinese Remainder Theorem and Euclidean Domains
Log in to Mediaspace to watch this video
Explores the Chinese remainder theorem, systems of congruences, and Euclidean domains in integer numbers and polynomial rings.
Polynomials on a Field: Basics and Operations
Log in to Mediaspace to watch this video
Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.
Dimension theory of rings
Log in to Mediaspace to watch this video
Covers the dimension theory of rings, including additivity of dimension and height, Krull's Hauptidealsatz, and the height of general complete intersections.
Diagonalization of Matrices
Log in to Mediaspace to watch this video
Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.
Algebraic Extensions and Decomposition of Fok [x]
Log in to Mediaspace to watch this video
Covers homomorphisms, algebraic extensions, cutting, splitting, and separable elements in Fok [x].
Untitled
Log in to Mediaspace to watch this video
Number Fields: Embeddings and Ideal Classes
Log in to Mediaspace to watch this video
Covers the embeddings of number fields and ideal classes with proofs and examples.
Mathematical Analysis: Functions and Composition
Log in to Mediaspace to watch this video
Covers the analysis of functions, composition, and mathematical induction.
Proofs and Logic: Introduction
Log in to Mediaspace to watch this video
Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.
Air Pollution Analysis
Log in to Mediaspace to watch this video
Explores air pollution analysis using wind data, probability distributions, and trajectory models for air quality assessment.
Previous
Page 2 of 2
Next