Which of the following isareTRUE I A field can possess zero

Which of the following is/areTRUE?

I. A field can possess zero divisors.

II. Every integral domain is a field.

III. The union of two subrings is always a subring

IV. Every field is an integral domain.

Solution

option (iv) is true.

becuause

if R is a field, then there is no zero divisor in R.

Integral domain that is not a field.

and the union of two subrings is generally not a subring.

Which of the following is/areTRUE? I. A field can possess zero divisors. II. Every integral domain is a field. III. The union of two subrings is always a subrin

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