Question

if x,y belongs to G and x×y=x where G is monoid under "×" then y is?​

Answer 1

SOLUTION

GIVEN

x , y ∈ G and x × y = x where G is monoid under "×"

TO DETERMINE

The name of y

CONCEPT TO BE IMPLEMENTED

MONOID

A semigroup ( G, *) containing the identity element is said to be a monoid

IDENTITY ELEMENT

Let ( G, *) be a group. Then an element e ∈ G is said to be the identity element if

a * e = e * a = a for all a ∈ G

EVALUATION

Here it is given that,

x , y ∈ G and x × y = x where G is monoid under "×"

Then by the property of identity y is said to be identity element in the group G

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