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Shiwank
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Shiwank
posted 1 month 3 days ago
A group in Algebra is a set S with binary operation * [written as(S,*)] satisfies following properties
If a,b€S
then
1.
Closure-
(a*b)€S
2.
Associative-
a*(b*c)=(a*b)*c
3.
Identity-
There must be an identity element e in set S such that a*e=a
4.
Inverse-
There must be an element c in set S such that a*c=e(Identity Element)
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