Math, asked by sanjeev907012, 1 month ago

a set of natural number N along with binary operation addition is known as ​

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Answered by amruthams456
0

Step-by-step explanation:

By definition, a non-empty set X is said to be a group with respect to a function f if all the following conditions are satisfied.

(I) Closure (i.e. f must be a binary operation on X)

(II) Associativity

(III) Existence of Identity element

(IV) Existence of Inverse for each element of X

Now, clearly the set N of natural numbers with respect to ordinary multiplication satisfies all these conditions except the last (because there is at least one element in N, for example 8, which doesn't have an inverse

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