Ring Theory And Field MCQs Euclidean Domain Posses, A Ring In Which Every Prime Ideal Is Irreducible, Every Integral Domain Is Field, Every Integral Domain Is A Field, Set Of Continuous Real Valued Function Form A Field, Example Of Ring With Zero Divisors Is, Unit Element And Unity Element Of Ring Considered As Identical, Is Set Of Integers Is An Ideal Of Set Of Rationals, Examples Of Ring With Identity Is, The Nilpotent Element In Z4 Is, Is Every Idempotent Element Is Nilpotent, If I And J Be Any Two Ideal Of The Ring R Then Their Sum Is, The Set Of All 2 By 2 Non-Singular Matrices Form A, The Zp-Where P Is A Prime Number Is, A Commutative Ring With Identity Without Zero Divisors Is Called, Z6 Is The Ring With Zero Divisors Which Of The Following Identify It, Every Ideal Is A, The Set ‘E’ Of Even Integers Is A Ring, Intersection Of Any Two Ideals Is, Centre Of The Ideal I Is:

# Ring Theory And Field MCQs

## If An element a of ring R and an = 0 then nis called.

A. Nil- radial

B. Idempotent

C. Irreduciable

**View Answer**

**A. Nil- radial**

## Is every idempotent element is nilpotent.

A. Yes

B. No

**View Answer**

**B. No**

## The nilpotent element in Z4 is.

A. 2

B. 3

C. None of these

**View Answer**

**A. 2**

## Examples of ring with identity is.

A. Ring of integers

B. Ring of rational numbers

C. Ring Real numbe4rs

D. Allof these

**View Answer**

**D. Allof these**

## Is set of integers is an ideal of set of rationals.

A. Yes

B. No

**View Answer**

**B. No**

## Unit element and unity element of ring considered as identical.

A. Yes

B. No

**View Answer**

**B. No**

## Which of the following is the axioms of an ideal ,for any two elements ‘a’ and ‘b’ of ideal.

A. A-b is an element of ideal

B. Ab is an element of ideal,

C. Both A & B

**View Answer**

**A. A-b is an element of ideal**

## The Ring of integers module n is field for.

A. All n.

B. Only prime numbers

C. Only even numbers

**View Answer**

**B. Only prime numbers**

## If f: R → R’ is an epimorphism then the set of all those elements of R which are mapped onto the identity element of R’ is called .

A. Centre

B. Ring

C. Ideal

D. Kernal of f

**View Answer**

**D. Kernal of f**