- #1
DukeSteve
- 10
- 0
Hello Experts,
I post this question here because in the homework topics there is no abstract algebra!
Please help me I want to understand it:
I have a ring R with unit. Also I am given n - natural number, I_n is the set {x in R: n*x = 0}
I have to prove or refute: Given n, m natural numbers:
A) Is I_n + I_m is an ideal of the form of I_k?
B) Is I_n intersection with I_m is an ideal of the form of I_k?
C) Is I_n union with I_m is an ideal of the form of I_k?
I just used the Bezout's identity that d = ax+by for any d is a common devisor of a,b, and x,y are integers.
And I get that A is a proof.
For B I don't know how to start...
I post this question here because in the homework topics there is no abstract algebra!
Please help me I want to understand it:
I have a ring R with unit. Also I am given n - natural number, I_n is the set {x in R: n*x = 0}
I have to prove or refute: Given n, m natural numbers:
A) Is I_n + I_m is an ideal of the form of I_k?
B) Is I_n intersection with I_m is an ideal of the form of I_k?
C) Is I_n union with I_m is an ideal of the form of I_k?
I just used the Bezout's identity that d = ax+by for any d is a common devisor of a,b, and x,y are integers.
And I get that A is a proof.
For B I don't know how to start...