Java Script needs to be enabled for Video to Load.

Equivalence Relations and Transitive Closure

Loading Video Lesson

If you dont see the Video even after 10 seconds,
then please download and Install the Flash Player


In this 42 mins Lesson you will Learn about following concepts.
Equivalence Relations and Transitive Closure

Equivalence Relation, Equivalence Classes, Quatient Set, Transitive Closure, and related Topics.


Related Video Lessons in this Series

Relations - Basic Concepts, Complement, Converse, Composite Relation

47 mins Video Lesson

Cartesian Product, Theorems, Relations, Domain, Range, Complement of a relation, Converse of a relation, Composite Relation, and other topics.

Relations - Matrix and Digraph Representation, Types of Binary Relations

51 mins Video Lesson

Matrix Representation, Theorems, Digraph Representation, Reflexive Relation, Irreflexive Relation, Symmetric Relation, Asymmetric Relation, Antisymmetric Relation, Transitive, and other topics.

Equivalence Relations and Transitive Closure

42 mins Video Lesson

Equivalence Relation, Equivalence Classes, Quatient Set, Transitive Closure, and other topics.

Warshall’s Algorithm & Posets

52 mins Video Lesson

Warshall Algorithm, Example, Partial Order / Poset, Hasse Diagram, Chains / Antichains, Maximal / Minimal Element, and other topics.

Bounds in Posets & Lattice

47 mins Video Lesson

Bounds, Examples, Lattice, Theorems, and other topics.

Inverse, Groups, Abelian Group, Cyclic Group and Cosets

53 mins Video Lesson

Inverse of an Element, Group, Abelian Group, Order of a Group, Order of An element, Cyclic Group, Product Group, Properties of a Group, Sub-Group, Cosets, Properties of a Coset, and other topics.

Algebraic System - Basic Concepts, Semi Group, Identity Element and Monoids

50 mins Video Lesson

Introduction, n-ary operation, Algeraic System, Binary Operations, Semi-Group, Residue Class Modulo n, Identity, Monoid, and other topics.

Properties of Cosets, Normal Sub Group, Homomorphism, Automorphism, Isomorphism

47 mins Video Lesson

Properties of Cosets (contd...), Lagrange's Theorem, Normal Subgroup, Qotient Group, Group Homomorphism, Group Automorphism, Group Isomorphism, and other topics.

Member's Zone