Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
S(f,g) = (lcm(LT(f),LT(g))/LT(f)) * f - (lcm(LT(f),LT(g))/LT(g)) * g
|
| gptkbp:field |
gptkb:algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
S-polynomial
|
| gptkbp:introduced |
gptkb:Bruno_Buchberger
|
| gptkbp:property |
S-polynomial of f and g is zero if their leading terms are relatively prime
S-polynomial is used to test if a set of polynomials is a Gröbner basis |
| gptkbp:relatedTo |
syzygy
polynomial ideal multivariate polynomial |
| gptkbp:symbol |
S(f,g)
|
| gptkbp:usedFor |
gptkb:Buchberger's_algorithm
elimination of leading terms |
| gptkbp:usedIn |
Gröbner basis theory
|
| gptkbp:bfsParent |
gptkb:Gröbner_basis
|
| gptkbp:bfsLayer |
6
|