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algebra123
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Post subject: numerical semigroup ring Posted: Thu Mar 31, 2011 6:08 pm |
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How do I define a numerical semigroup ring in Singular. For example
k[[t^5,t^7]]
or something like
k[[t^6,t^8 + t^9,t^11]] ?
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barakat
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Post subject: Re: numerical semigroup ring Posted: Thu Apr 14, 2011 1:15 pm |
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Joined: Thu Apr 14, 2011 1:13 pm Posts: 2
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I would simply write it as an affine ring. You can use eliminate to get the ring relations.
Mohamed
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algebra123
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Post subject: Re: numerical semigroup ring Posted: Mon Apr 18, 2011 8:17 pm |
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Yes, this would do it. But how can we use eliminate to get the defining ideal? I am surprised that there is not a procedure that would take a map, say x to t^5 and y to t^7, and produce the defining ideal.
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greuel
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Post subject: Re: numerical semigroup ring Posted: Tue Apr 19, 2011 2:08 pm |
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Joined: Mon Aug 29, 2005 9:22 am Posts: 41 Location: Kaiserslautern, Germany
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A procedure for two lines would be overkill since one has to specify the map anyway. Here is the SINGULAR input:
ring r = 0,(t,x,y),dp; ideal i = x-t5, y-t7; eliminate(i,t);
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