Re: [sage-support] Re: confused about primality of Ideal(1)
upstream report link: http://www.singular.uni-kl.de:8002/trac/ticket/550 Remark: minimal_associated_primes() and almost all routines based on decomposition routines from Singular's 'primdec.lib' are affected, too. Try R.x,y = QQ[] I = Ideal( R(1) ) I.minimal_associated_primes() Am Montag, 27. Januar 2014 15:45:24 UTC+1 schrieb John Cremona: See http://trac.sagemath.org/ticket/15745 John On 27 January 2014 14:39, John Cremona john.c...@gmail.com javascript: wrote: On 27 January 2014 14:37, kro...@uni-math.gwdg.de javascript: wrote: Ok, I will do the upstream-report (Singular trac at http://www.singular.uni-kl.de:8002/trac/newticket) John Cremona: [...] which I'm sure has been reported before. I could not find a corresponding ticket in sage trac and cannot currently login. Could someone open a that ticket in sage-trac if necessary? I will do that (unless Peter has already). Despite Singular, Sage can check for the unit ideal in this and related functions. John Jack Am Montag, 27. Januar 2014 15:15:08 UTC+1 schrieb Peter Bruin: Hello, I'm a bit confused about Sage's answer if Ideal(1) is prime. R.x,y= QQ[] I = Ideal(R(1)) I.is_prime() Sage (5.11, not only) says yes, conflicting to the definition, http://en.wikipedia.org/wiki/Prime_ideal Has somebody an expanation of this behaviour? The example Singular session below suggests that the problem lies in Singular (I'm not too familiar with Singular, but I think the answers should all be the same, and only primdecSY(J) seems to be correct). Peter $ sage -singular SINGULAR / Development A Computer Algebra System for Polynomial Computations / version 3-1-5 0 by: W. Decker, G.-M. Greuel, G. Pfister, H. Schoenemann \ Jul 2012 FB Mathematik der Universitaet, D-67653 Kaiserslautern\ LIB primdec.lib (...) ring R = 0, (x, y), dp; ideal I = 1; primdecSY(I); [1]: [1]: _[1]=1 [2]: _[1]=1 primdecGTZ(I); [1]: [1]: _[1]=1 [2]: _[1]=1 ideal J = x, x + 1; primdecSY(J); empty list primdecGTZ(J); [1]: [1]: _[1]=1 [2]: _[1]=1 -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support...@googlegroups.com javascript:. To post to this group, send email to sage-s...@googlegroups.comjavascript:. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
Re: [sage-support] Re: confused about primality of Ideal(1)
On 27 January 2014 14:37, kroe...@uni-math.gwdg.de wrote: Ok, I will do the upstream-report (Singular trac at http://www.singular.uni-kl.de:8002/trac/newticket) John Cremona: [...] which I'm sure has been reported before. I could not find a corresponding ticket in sage trac and cannot currently login. Could someone open a that ticket in sage-trac if necessary? I will do that (unless Peter has already). Despite Singular, Sage can check for the unit ideal in this and related functions. John Jack Am Montag, 27. Januar 2014 15:15:08 UTC+1 schrieb Peter Bruin: Hello, I'm a bit confused about Sage's answer if Ideal(1) is prime. R.x,y= QQ[] I = Ideal(R(1)) I.is_prime() Sage (5.11, not only) says yes, conflicting to the definition, http://en.wikipedia.org/wiki/Prime_ideal Has somebody an expanation of this behaviour? The example Singular session below suggests that the problem lies in Singular (I'm not too familiar with Singular, but I think the answers should all be the same, and only primdecSY(J) seems to be correct). Peter $ sage -singular SINGULAR / Development A Computer Algebra System for Polynomial Computations / version 3-1-5 0 by: W. Decker, G.-M. Greuel, G. Pfister, H. Schoenemann \ Jul 2012 FB Mathematik der Universitaet, D-67653 Kaiserslautern\ LIB primdec.lib (...) ring R = 0, (x, y), dp; ideal I = 1; primdecSY(I); [1]: [1]: _[1]=1 [2]: _[1]=1 primdecGTZ(I); [1]: [1]: _[1]=1 [2]: _[1]=1 ideal J = x, x + 1; primdecSY(J); empty list primdecGTZ(J); [1]: [1]: _[1]=1 [2]: _[1]=1 -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
[sage-support] Re: confused about primality of Ideal(1)
Ok, I will do the upstream-report (Singular trac at http://www.singular.uni-kl.de:8002/trac/newticket) John Cremona: [...] which I'm sure has been reported before. I could not find a corresponding ticket in sage trac and cannot currently login. Could someone open a that ticket in sage-trac if necessary? Jack Am Montag, 27. Januar 2014 15:15:08 UTC+1 schrieb Peter Bruin: Hello, I'm a bit confused about Sage's answer if Ideal(1) is prime. R.x,y= QQ[] I = Ideal(R(1)) I.is_prime() Sage (5.11, not only) says yes, conflicting to the definition, http://en.wikipedia.org/wiki/Prime_ideal Has somebody an expanation of this behaviour? The example Singular session below suggests that the problem lies in Singular (I'm not too familiar with Singular, but I think the answers should all be the same, and only primdecSY(J) seems to be correct). Peter $ sage -singular SINGULAR / Development A Computer Algebra System for Polynomial Computations / version 3-1-5 0 by: W. Decker, G.-M. Greuel, G. Pfister, H. Schoenemann \ Jul 2012 FB Mathematik der Universitaet, D-67653 Kaiserslautern\ LIB primdec.lib (...) ring R = 0, (x, y), dp; ideal I = 1; primdecSY(I); [1]: [1]: _[1]=1 [2]: _[1]=1 primdecGTZ(I); [1]: [1]: _[1]=1 [2]: _[1]=1 ideal J = x, x + 1; primdecSY(J); empty list primdecGTZ(J); [1]: [1]: _[1]=1 [2]: _[1]=1 -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sage-support] Re: confused about primality of Ideal(1)
See http://trac.sagemath.org/ticket/15745 John On 27 January 2014 14:39, John Cremona john.crem...@gmail.com wrote: On 27 January 2014 14:37, kroe...@uni-math.gwdg.de wrote: Ok, I will do the upstream-report (Singular trac at http://www.singular.uni-kl.de:8002/trac/newticket) John Cremona: [...] which I'm sure has been reported before. I could not find a corresponding ticket in sage trac and cannot currently login. Could someone open a that ticket in sage-trac if necessary? I will do that (unless Peter has already). Despite Singular, Sage can check for the unit ideal in this and related functions. John Jack Am Montag, 27. Januar 2014 15:15:08 UTC+1 schrieb Peter Bruin: Hello, I'm a bit confused about Sage's answer if Ideal(1) is prime. R.x,y= QQ[] I = Ideal(R(1)) I.is_prime() Sage (5.11, not only) says yes, conflicting to the definition, http://en.wikipedia.org/wiki/Prime_ideal Has somebody an expanation of this behaviour? The example Singular session below suggests that the problem lies in Singular (I'm not too familiar with Singular, but I think the answers should all be the same, and only primdecSY(J) seems to be correct). Peter $ sage -singular SINGULAR / Development A Computer Algebra System for Polynomial Computations / version 3-1-5 0 by: W. Decker, G.-M. Greuel, G. Pfister, H. Schoenemann \ Jul 2012 FB Mathematik der Universitaet, D-67653 Kaiserslautern\ LIB primdec.lib (...) ring R = 0, (x, y), dp; ideal I = 1; primdecSY(I); [1]: [1]: _[1]=1 [2]: _[1]=1 primdecGTZ(I); [1]: [1]: _[1]=1 [2]: _[1]=1 ideal J = x, x + 1; primdecSY(J); empty list primdecGTZ(J); [1]: [1]: _[1]=1 [2]: _[1]=1 -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
[sage-support] Re: confused about primality of Ideal(1)
Hello, I'm a bit confused about Sage's answer if Ideal(1) is prime. R.x,y= QQ[] I = Ideal(R(1)) I.is_prime() Sage (5.11, not only) says yes, conflicting to the definition, http://en.wikipedia.org/wiki/Prime_ideal Has somebody an expanation of this behaviour? The example Singular session below suggests that the problem lies in Singular (I'm not too familiar with Singular, but I think the answers should all be the same, and only primdecSY(J) seems to be correct). Peter $ sage -singular SINGULAR / Development A Computer Algebra System for Polynomial Computations / version 3-1-5 0 by: W. Decker, G.-M. Greuel, G. Pfister, H. Schoenemann \ Jul 2012 FB Mathematik der Universitaet, D-67653 Kaiserslautern\ LIB primdec.lib (...) ring R = 0, (x, y), dp; ideal I = 1; primdecSY(I); [1]: [1]: _[1]=1 [2]: _[1]=1 primdecGTZ(I); [1]: [1]: _[1]=1 [2]: _[1]=1 ideal J = x, x + 1; primdecSY(J); empty list primdecGTZ(J); [1]: [1]: _[1]=1 [2]: _[1]=1 -- You received this message because you are subscribed to the Google Groups sage-support group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
