Prove that K is not equal to IJ
Im not sure how to prove this. Maybe i can show that IJ is bigger than K, and show a counter example where something is in IJ but not in K? but not sure how to do this either.
abstract-algebra polynomials ideals
asked Nov 19 at 0:52
H.B
203
add a comment |
Im not sure how to prove this. Maybe i can show that IJ is bigger than K, and show a counter example where something is in IJ but not in K? but not sure how to do this either.
abstract-algebra polynomials ideals
asked Nov 19 at 0:52
H.B
203
add a comment |
Im not sure how to prove this. Maybe i can show that IJ is bigger than K, and show a counter example where something is in IJ but not in K? but not sure how to do this either.
abstract-algebra polynomials ideals
asked Nov 19 at 0:52
H.B
203
Im not sure how to prove this. Maybe i can show that IJ is bigger than K, and show a counter example where something is in IJ but not in K? but not sure how to do this either.
abstract-algebra polynomials ideals
abstract-algebra polynomials ideals
asked Nov 19 at 0:52
H.B
203
asked Nov 19 at 0:52
H.B
203
asked Nov 19 at 0:52
H.B
203
asked Nov 19 at 0:52
H.B
203
asked Nov 19 at 0:52
H.B
203
203
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
Hint:
For example, $;p(x)=4x^2+2xin IJ;$ , yet $;p(x)notin K;$ . Try to prove this.
answered Nov 19 at 0:57
DonAntonio
177k1491225
But aren't the polynomials in I zero?
– H.B
Nov 19 at 1:06
@H.B What? The polynomials in $;I;$ are all those polynomials that vanish at zero, not only the zero polynomial...
– DonAntonio
Nov 19 at 1:07
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
Hint:
For example, $;p(x)=4x^2+2xin IJ;$ , yet $;p(x)notin K;$ . Try to prove this.
answered Nov 19 at 0:57
DonAntonio
177k1491225
But aren't the polynomials in I zero?
– H.B
Nov 19 at 1:06
@H.B What? The polynomials in $;I;$ are all those polynomials that vanish at zero, not only the zero polynomial...
– DonAntonio
Nov 19 at 1:07
add a comment |
Hint:
For example, $;p(x)=4x^2+2xin IJ;$ , yet $;p(x)notin K;$ . Try to prove this.
answered Nov 19 at 0:57
DonAntonio
177k1491225
But aren't the polynomials in I zero?
– H.B
Nov 19 at 1:06
@H.B What? The polynomials in $;I;$ are all those polynomials that vanish at zero, not only the zero polynomial...
– DonAntonio
Nov 19 at 1:07
add a comment |
Hint:
For example, $;p(x)=4x^2+2xin IJ;$ , yet $;p(x)notin K;$ . Try to prove this.
answered Nov 19 at 0:57
DonAntonio
177k1491225
Hint:
For example, $;p(x)=4x^2+2xin IJ;$ , yet $;p(x)notin K;$ . Try to prove this.
answered Nov 19 at 0:57
DonAntonio
177k1491225
answered Nov 19 at 0:57
DonAntonio
177k1491225
answered Nov 19 at 0:57
DonAntonio
177k1491225
answered Nov 19 at 0:57
DonAntonio
177k1491225
177k1491225
But aren't the polynomials in I zero?
– H.B
Nov 19 at 1:06
@H.B What? The polynomials in $;I;$ are all those polynomials that vanish at zero, not only the zero polynomial...
– DonAntonio
Nov 19 at 1:07
add a comment |
But aren't the polynomials in I zero?
– H.B
Nov 19 at 1:06
@H.B What? The polynomials in $;I;$ are all those polynomials that vanish at zero, not only the zero polynomial...
– DonAntonio
Nov 19 at 1:07
But aren't the polynomials in I zero?
– H.B
Nov 19 at 1:06
But aren't the polynomials in I zero?
– H.B
Nov 19 at 1:06
@H.B What? The polynomials in $;I;$ are all those polynomials that vanish at zero, not only the zero polynomial...
– DonAntonio
Nov 19 at 1:07
@H.B What? The polynomials in $;I;$ are all those polynomials that vanish at zero, not only the zero polynomial...
– DonAntonio
Nov 19 at 1:07
add a comment |
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