Modern algebra chapter 5

reference: Modern Algebra An Introduction (John R. Durbin)

 

CHAPTER 5

 

<Conditions group>

A group is a set G together with an operation * on G such tjat each of the

following axioms is satisfied.

 

1. Associativity

2. Existence of an identity element

3. Existence of inverse elements

 

 

<Abelian>

 

above in group G, also if it is satisfied with commutative law,

then G is Abelian

if not G is not Abelian or can say non-Abelian