Question

the set of natural number N is-

option-
(a) a field
(b) not a field
(c) both a and b
(d) niether a and nor b
​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The set of natural number N is

(a) a field

(b) not a field

(c) both a and b

(d) neither a and nor b

EVALUATION

Skew field

A ring R with 1 is called division ring ( skew field ) if every non zero element of R is a unit

Field

A commutative division ring is a field

Now the set N is the set of natural numbers

N = { 1 , 2 , 3 , 4 ,... }

The ring N of natural numbers is not a field because in N no element except 1 are invertible

FINAL ANSWER

The correct option is

The set of natural number N is

(b) not a field

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