Algebra 2
25 videos • 1,517 views • by msc mathematics
1
show that if R is a ring with unity and N is an ideal of R containing a unit, then N=R(2018)(2020)
msc mathematics
Download
2
R is a commutative Ring with Unity, M is an ideal of R then M is maximal ideal of R⟺R/M is a field
msc mathematics
Download
3
N be an ideal in commutative ring R and a∈R.show that I={ra+n:r∈R, n∈N}is an ideal of R containing N
msc mathematics
Download
4
show that a commutative Ring with unity is a field if and only if it has no proper non trivial ideal
msc mathematics
Download
5
if R is a ring with Unity,then show that the map Φ:Z→R given by Φ(n)=n. 1 for n∈ Z is a homomorphism
msc mathematics
Download
6
let F be a field, prove that every ideal in F(x) is a principle ideal(2015,2016,2018)
msc mathematics
Download
7
let F be a field.show that a prncpl ideal p(x)≠{0} of F(x) is maximal iff p(x) is irreducible over F
msc mathematics
Download
8
is x³+3x+4 is irreducible over Z5?why?
msc mathematics
Download
9
show that (Z5[x]/principle ideal generated by x³+3x+2 )is a field
msc mathematics
Download
10
find all c ∈ Z5 such that( Z5[x]/principle ideal generated by x²+cx+1 ) is a field
msc mathematics
Download
11
part1 : concept for previous yearquestions
msc mathematics
Download
12
f be field&f(x)be non-constant polynomial in F[X].ST ∃ extension field E of f and an α ∈ E, f(α )=0
msc mathematics
Download
13
verify whether x³+x²+2 is irreducible in z3[x]
msc mathematics
Download
14
show that the polynomial x²+1 is irreducible in Z3[x]
msc mathematics
Download
15
is Q[x]/(principle ideal generated by x²-2) is a field. why?
msc mathematics
Download
16
algebra 2, 2 nd sem msc maths previous year question and answers calicut university part 3
msc mathematics
Download
17
algebra 2, 2 nd sem msc maths previous year question and answers calicut university part 1
msc mathematics
Download
18
algebra 2 ,2 nd sem msc maths previous year question and answers calicut university part 2
msc mathematics
Download
19
R is a ring with unity and N is an ideal of R containing a unit, then N=R
msc mathematics
Download
20
A field has no proper and non trivial ideal
msc mathematics
Download
21
R is a commutative ring with unity and M is a ideal of R then M is a maximal ideal ⟺ R/M is a field
msc mathematics
Download
22
a commutative Ring with unity is a field if and only if R has no proper and non trivial ideal
msc mathematics
Download
23
maximial ideal of Z of the form pZ
msc mathematics
Download
24
R is a community Ring with Unity and N is a prime ideal of R if and only if R/N is a integral domain
msc mathematics
Download
25
example for a proper and non trivial idea of zxz which is not prime ideal
msc mathematics
Download