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šš§š«šØš„š„ ššØš° :- https://bit.ly/49PVrCW
šš§š«šØš„š„ ššØš° :- https://bit.ly/49PVrCW
#Q1 Let R be a Boolean ring. Then
Anonymous Quiz
21%
Every proper prime ideal need not to be a maximal ideal
40%
Every proper prime ideal P of R is maximal ideal
27%
Every maximal ideal is prime ideal
13%
None of these
#Q2 Let I=<2>and J=<3 > be the ideals of Z then
Anonymous Quiz
38%
Iā©J is prime ideal
16%
I.J is prime ideal
42%
Iā©J is not maximal ideal
4%
I.J is maximal ideal
#Q4 Under a ring homomorphism, image of an ideal is an ideal if
Anonymous Quiz
33%
It is one-one homomorphism
43%
It is onto homomorphism
22%
Its kernel is not equal to zero
2%
None of these
#Q5 Under ring Homomorphism; inverse image of a prime ideal ----------
Anonymous Quiz
40%
Need not to be a prime ideal
30%
Need not to be an ideal
11%
May be maximal ideal
19%
Is prime ideal
#Q6 Under any ring homomorphism, inverse image of maximal ideal is ----------
Anonymous Quiz
31%
Maximal ideal
33%
Need not to be ideal
19%
May be prime
17%
May not be maximal
#Q9 Which of the following is/are not a homomorphism from CāC
Anonymous Quiz
44%
f(x)= [X x X]
22%
f(x)= 0
26%
f(a-ib)=a+ib
7%
f(a+ib)=a-ib
GATE Maths 2016 PYQ Paper With Answer Key.pdf
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For More Pratice Question: https://bit.ly/3JYcZlS
šš”šš² š°šš«š šØš§šš š¢š§ š²šØš®š« šš±ššš š©šØš¬š¢šš¢šØš§. šš”šš² ššššš©ššš šš”š šš”šš„š„šš§š š. šš”šš² š¬š®ššššššš. šš”š šØš§š„š² šŖš®šš¬šš¢šØš§ š¢š¬: šš¢š„š„ š²šØš®?
šš§š«šØš„š„ ššØš° :- https://bit.ly/49PVrCW
šš§š«šØš„š„ ššØš° :- https://bit.ly/49PVrCW
šš”šš² š°šš«š šØš§šš š¢š§ š²šØš®š« šš±ššš š©šØš¬š¢šš¢šØš§. šš”šš² ššššš©ššš šš”š šš”šš„š„šš§š š. šš”šš² š¬š®ššššššš. šš”š šØš§š„š² šŖš®šš¬šš¢šØš§ š¢š¬: šš¢š„š„ š²šØš®?
šš§š«šØš„š„ ššØš° :- https://bit.ly/49PVrCW
šš§š«šØš„š„ ššØš° :- https://bit.ly/49PVrCW
#Q1 Under the ring homomorphism, which of the following is/are true?
Anonymous Quiz
9%
Nilpotent map to idempotent
19%
Idempotent map to nilpotent
62%
Idempotent to idempotent
9%
Any element can map to any element
ā¤2
#Q2 Let R be a ring with unity and I be any proper ideal of R. Then which of the following is/are true?
Anonymous Quiz
31%
I must be contained in a prime ideal of R
19%
I may not be contained in any ideal of R
43%
I is contained in some maximal ideal of R
7%
I is only contained in R
#Q3 Let R be any P. I. D and pāR and P is a prime element. Then which of the following is/are true?
Anonymous Quiz
5%
<p> ā 0 is not a prime ideal of R
49%
<p> ā 0 may not be a maximal ideal of R
35%
p may not be an irreducible element
11%
<p> ā 0 is maximal ideal of R
#Q4 Let n be any prime element of R then n be irreducible if R is
Anonymous Quiz
24%
Integral domain
38%
P .I .D
24%
Not U.F.D
14%
For every ring R
#Q5 Let A and B be two non-zero ideals of PID R, generated by a and b respectively. Then AāB ideal of R is generated by
Anonymous Quiz
11%
Aā
B= <a+b>
41%
Aā
B= <aā©b>
38%
Aā
B= Aā©B
11%
Aā
B= <ab>