Changeset 3f6c35 in git for Singular/LIB/fpaprops.lib
- Timestamp:
- Jan 28, 2019, 9:32:27 AM (5 years ago)
- Branches:
- (u'spielwiese', '17f1d200f27c5bd38f5dfc6e8a0879242279d1d8')
- Children:
- 2ed68582915c3ebdf7071e1d330bde6db4bd689e
- Parents:
- b99f73ecc394b70f6e4b6dbfbf7c63e4a88e7a71fceb4ea7b7aadeaaa573c66a74f3f94116bbf7b2
- git-author:
- Hans Schoenemann <hannes@mathematik.uni-kl.de>2019-01-28 09:32:27+01:00
- git-committer:
- GitHub <noreply@github.com>2019-01-28 09:32:27+01:00
- File:
-
- 1 edited
Legend:
- Unmodified
- Added
- Removed
-
Singular/LIB/fpaprops.lib
rb99f73 r3f6c35 161 161 "EXAMPLE:"; echo = 2; 162 162 ring r = 0,(x,y),dp; 163 def R = makeLetterplaceRing(5);163 def R = freeAlgebra(r, 5); 164 164 setring R; 165 165 ideal G = x*x, y*x; // K<x,y>/<xx,yx> is right noetherian … … 340 340 "EXAMPLE:"; echo = 2; 341 341 ring r = 0,(x1,x2),dp; 342 def R = makeLetterplaceRing(5);342 def R = freeAlgebra(r, 5); 343 343 setring R; 344 344 ideal G = x1*x2, x2*x1; // K<x1,x2>/<x1*x2,x2*x1> is semi prime … … 461 461 "EXAMPLE:"; echo = 2; 462 462 ring r = 0,(x,y),dp; 463 def R = makeLetterplaceRing(5);463 def R = freeAlgebra(r, 5); 464 464 setring R; 465 465 ideal G = x*x, y*y; // K<x,y>/<xx,yy> is prime … … 788 788 "EXAMPLE:"; echo = 2; 789 789 ring r = 0,(x,y,z),dp; 790 def R = makeLetterplaceRing(5); // constructs a Letterplace ring790 def R = freeAlgebra(r, 5); // constructs a Letterplace ring 791 791 setring R; // sets basering to Letterplace ring 792 792 ideal I = x*y, x*z, z*y, z*z; … … 957 957 "EXAMPLE:"; echo = 2; 958 958 ring r = 0,(x,y,z),dp; 959 def R = makeLetterplaceRing(5); // constructs a Letterplace ring959 def R = freeAlgebra(r, 5); // constructs a Letterplace ring 960 960 R; 961 961 setring R; // sets basering to Letterplace ring … … 1061 1061 "EXAMPLE:"; echo = 2; 1062 1062 ring r = 0,(x,y),dp; 1063 def R = makeLetterplaceRing(5); // constructs a Letterplace ring1063 def R = freeAlgebra(r, 5); // constructs a Letterplace ring 1064 1064 setring R; // sets basering to Letterplace ring 1065 1065 ideal G = x*x, y*y,x*y*x; // it is a monomial Groebner basis … … 1205 1205 "EXAMPLE:"; echo = 2; 1206 1206 ring r = 0,(x,y,z),dp; 1207 def R = makeLetterplaceRing(4);1207 def R = freeAlgebra(r, 4); 1208 1208 setring R; 1209 1209 ideal G = x*y; // optional … … 1215 1215 minDegBound; // thus the bound needs to be increased 1216 1216 setring r; // back to original r 1217 def R1 = makeLetterplaceRing(minDegBound);1217 def R1 = freeAlgebra(r, minDegBound); 1218 1218 setring R1; 1219 1219 lpSubstitute(imap(R,f), imap(R,s1), imap(R,s2)); … … 1227 1227 //////// EXAMPLE B //////// 1228 1228 ring r = 0,(x,y,z),dp; 1229 def R = makeLetterplaceRing(4);1229 def R = freeAlgebra(r, 4); 1230 1230 setring R; 1231 1231 … … 1239 1239 int minDegBound = lpCalcSubstDegBound(I,s1,s2); 1240 1240 setring r; 1241 def R1 = makeLetterplaceRing(minDegBound);1241 def R1 = freeAlgebra(r, minDegBound); 1242 1242 setring R1; 1243 1243 … … 1333 1333 "EXAMPLE:"; echo = 2; 1334 1334 ring r = 0,(x,y,z),dp; 1335 def R = makeLetterplaceRing(4);1335 def R = freeAlgebra(r, 4); 1336 1336 setring R; 1337 1337 ideal I = 3*x*x+y*x, x*y*x - z; … … 1427 1427 /* "EXAMPLE:"; echo = 2; */ 1428 1428 /* ring r = 0,(x,y,z),dp; */ 1429 /* def A = makeLetterplaceRing(3); */1429 /* def A = freeAlgebra(r, 3); */ 1430 1430 /* setring A; A; */ 1431 1431 /* def R = lpDelVar(2); setring R; R; */
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