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Topic review - Using the iMult command with more than 2 variables |
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Re: Using the iMult command with more than 2 variables |
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Thank you hannes, that was very helpful and cleared this up for me.
Best, Ryan
Thank you hannes, that was very helpful and cleared this up for me.
Best, Ryan
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Posted: Mon Jan 31, 2022 6:14 pm |
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Re: Using the iMult command with more than 2 variables |
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In the example in the question the intersection multiplicity of for example y3 and z in k[x,y,z] is infinite, hence the output is -1. But if you try for example, ring r = 0, (x,y,z), dp; ideal I = x,y; ideal J = y,z; ideal H = z,x; list l = I, J, H; iMult(l); you get output 2. So this "I am wondering if iMult(L) will always return -1 when L contains ideals generated by polynomials which may have more than 2 variables. " is not true.
In the example in the question the intersection multiplicity of for example y3 and z in k[x,y,z] is infinite, hence the output is -1. But if you try for example, ring r = 0, (x,y,z), dp; ideal I = x,y; ideal J = y,z; ideal H = z,x; list l = I, J, H; iMult(l); you get output 2. So this "I am wondering if iMult(L) will always return -1 when L contains ideals generated by polynomials which may have more than 2 variables. " is not true.
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Posted: Fri Jan 28, 2022 4:55 pm |
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Using the iMult command with more than 2 variables |
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Hello, I am new to singular and am trying to become familiar with the iMult command in normal.lib. I am wondering if this command always produces negative output when the base ring has more than two variables, or if I am using it incorrectly. For example Code: ring s = 0,(x,y),dp; list L = (x2),(y3); iMult(L);
returns 6. Adding the variable z to the base ring and the ideal (z) to L returns -1 Code: ring s = 0,(x,y,z),dp; list L = (x2),(y3), (z); iMult(L);
Moreover, the following code also produces an output of -1 although I would expect the output to be 6. Code: ring s = 0,(x,y,z),dp; list L = (x2, y3, z); iMult(L);
I am wondering if iMult(L) will always return -1 when L contains ideals generated by polynomials which may have more than 2 variables. The documentation makes no mention of restricting to ideals in a base ring having at most two variables so I believe I am making a mistake in my usage of iMult. Best, Ryan
Hello,
I am new to singular and am trying to become familiar with the iMult command in normal.lib. I am wondering if this command always produces negative output when the base ring has more than two variables, or if I am using it incorrectly.
For example [code] ring s = 0,(x,y),dp; list L = (x2),(y3); iMult(L); [/code] returns 6.
Adding the variable z to the base ring and the ideal (z) to L returns -1 [code] ring s = 0,(x,y,z),dp; list L = (x2),(y3), (z); iMult(L); [/code]
Moreover, the following code also produces an output of -1 although I would expect the output to be 6. [code] ring s = 0,(x,y,z),dp; list L = (x2, y3, z); iMult(L); [/code]
I am wondering if iMult(L) will always return -1 when L contains ideals generated by polynomials which may have more than 2 variables. The documentation makes no mention of restricting to ideals in a base ring having at most two variables so I believe I am making a mistake in my usage of iMult.
Best, Ryan
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Posted: Tue Jan 25, 2022 8:27 pm |
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It is currently Fri May 13, 2022 10:54 am
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