Understanding Group Theory: Relations, Functions, and Binary Operations
Explore the fundamental concepts of group theory, including relations, functions, and binary operations. Learn how sets are related, functions are defined, and operations are applied using examples and visual aids.
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Presentation Transcript
Definition of relation:is the assigne between two set (domaine )and(codomain).i.e let A,Bbe two set then any subset of A X B is relation from A to B Definition of function:is the relation assigns each elemant in A to only one element in B
BINARY OPERATION any mapping from AXA to A is called Let A abinary operation on A
Example Let A= Z & + from ZXZ to Z so + is binary operation on Z SINCE 2+4=6 in Z & -3+5=2 in Z 2- - is not binary operation on N
