spielwiese
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Last change
on this file since 6fb723 was
894057,
checked in by Oleksandr Motsak <motsak@…>, 13 years ago
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ADD: Tests from online manual (res+stat on mamawutz): short ones Tst/Manual/s.lst
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Property mode set to
100644
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File size:
731 bytes
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| 1 | LIB "tst.lib"; tst_init(); |
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| 2 | LIB "ncalg.lib"; |
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| 3 | def R = makeQso3(3); |
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| 4 | setring R; |
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| 5 | option(redSB); |
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| 6 | // we wish to have completely reduced bases: |
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| 7 | option(redTail); |
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| 8 | ideal tst; |
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| 9 | ideal J = x3+x,x*y*z; |
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| 10 | print(syz(J)); |
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| 11 | ideal K = x+y+z,y+z,z; |
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| 12 | module S = syz(K); |
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| 13 | print(S); |
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| 14 | tst = ideal(transpose(S)*transpose(K)); |
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| 15 | // check the property of a syzygy module (tst==0): |
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| 16 | size(tst); |
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| 17 | // now compute the Groebner basis of K ... |
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| 18 | K = std(K); |
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| 19 | // ... print a matrix presentation of K ... |
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| 20 | print(matrix(K)); |
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| 21 | S = syz(K); // ... and its syzygy module |
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| 22 | print(S); |
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| 23 | tst = ideal(transpose(S)*transpose(K)); |
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| 24 | // check the property of a syzygy module (tst==0): |
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| 25 | size(tst); |
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| 26 | // but the "commutative" syzygy property does not hold |
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| 27 | size(ideal(matrix(K)*matrix(S))); |
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| 28 | tst_status(1);$ |
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