Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
commutative ring |
gptkbp:alsoKnownAs |
face ring
|
gptkbp:builtBy |
modding out by the ideal generated by non-faces
|
gptkbp:capturedBy |
combinatorial properties of a simplicial complex
|
gptkbp:citation |
gptkb:Stanley,_R._P._(1975)._The_upper_bound_conjecture_and_Cohen–Macaulay_rings._Studies_in_Applied_Mathematics.
|
gptkbp:constructedAs |
quotient of a polynomial ring
|
gptkbp:definedIn |
CW complex
|
gptkbp:field |
gptkb:algebraic_geometry
gptkb:commutative_algebra combinatorics |
https://www.w3.org/2000/01/rdf-schema#label |
Stanley–Reisner ring
|
gptkbp:introducedIn |
1970s
|
gptkbp:namedAfter |
gptkb:Richard_P._Stanley
gptkb:Gerhard_Reisner |
gptkbp:relatedTo |
gptkb:Cohen–Macaulay_ring
gptkb:Hilbert_series face poset face vector |
gptkbp:usedIn |
gptkb:topology
toric geometry |
gptkbp:bfsParent |
gptkb:Hochster's_theorem
|
gptkbp:bfsLayer |
7
|