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Matrix Representation, Theorems, Digraph Representation, Reflexive Relation, Irreflexive Relation, Symmetric Relation, Asymmetric Relation, Antisymmetric Relation, Transitive, and related Topics.
Cartesian Product, Theorems, Relations, Domain, Range, Complement of a relation, Converse of a relation, Composite Relation, and other topics.
Matrix Representation, Theorems, Digraph Representation, Reflexive Relation, Irreflexive Relation, Symmetric Relation, Asymmetric Relation, Antisymmetric Relation, Transitive, and other topics.
Equivalence Relation, Equivalence Classes, Quatient Set, Transitive Closure, and other topics.
Warshall Algorithm, Example, Partial Order / Poset, Hasse Diagram, Chains / Antichains, Maximal / Minimal Element, and other topics.
Bounds, Examples, Lattice, Theorems, and other topics.
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.
Introduction, n-ary operation, Algeraic System, Binary Operations, Semi-Group, Residue Class Modulo n, Identity, Monoid, and other topics.
Properties of Cosets (contd...), Lagrange's Theorem, Normal Subgroup, Qotient Group, Group Homomorphism, Group Automorphism, Group Isomorphism, and other topics.