A. R/K
B. R/M
C. M/R
D. K/R
View AnswerB. R/M
Ring Theory And Field MCQs
If “a” is a unit element of “R” then it is.
A. Unique
B. Zero
C. Same
D. None
View AnswerA. Unique
R={ a+b√2,a,b∈R} is not a ring homorphism.
A. True
B. False
View AnswerB. False
If { 0} & “R” are the only ideal of a commutative ring with unity then “R” is a .
A. Not a ring
B. Field
C. Skew field
D. All
View AnswerB. Field
For any element a€R , let Ra ={ra∶a∈R,r∈R} then Ra is an ideal of R.
A. Right
B. Left
C. Both A &B
D. None
View AnswerB. Left
The ring of integers is principle ideal ring.
A. True
B. False
View AnswerA. True
An ideal “I” of a ring “R” is called ..Ra for some a€R.
A. Principle ring
B. Principle ideal
C. Ring
D. Field
View AnswerB. Principle ideal
Let “R” be a commutative ring with unity I f “M” is an ideal of R and I € M then.
A. .M≠R
B. M€R
C. M=R
D. All
View AnswerC. M=R
If I and J are the ideals of R , then which of the following is an ideal of ring R.
A. I∩J
B. I+J
C. IJ
D. All
View AnswerD. All
Unions of ideals may not be ideal.
A. True
B. False
View AnswerA. True