Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949403225> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2949403225 abstract "An explicit combinatorial minimal free resolution of an arbitrary monomial ideal $I$ in a polynomial ring in $n$ variables over a field of characteristic $0$ is defined canonically, without any choices, using higher-dimensional generalizations of combined spanning trees for cycles and cocycles (hedges) in the upper Koszul simplicial complexes of $I$ at lattice points in $mathbb{Z}^n$. The differentials in these sylvan are expressed as matrices whose entries are sums over lattice paths of weights determined combinatorially by sequences of hedges (hedgerows) along each lattice path. This combinatorics enters via an explicit matroidal expression for the Moore-Penrose pseudoinverses of the differentials in any CW complex as weighted averages of splittings defined by hedges. This Hedge Formula also yields a projection formula from CW chains to boundaries. The translation from Moore-Penrose combinatorics to free resolutions relies on Wall complexes, which construct minimal free resolutions of graded ideals from vertical splittings of Koszul bicomplexes. The algebra of Wall complexes applied to individual hedgerows yields explicit but noncanonical combinatorial minimal free resolutions of arbitrary monomial ideals in any characteristic." @default.
- W2949403225 created "2019-06-27" @default.
- W2949403225 creator A5042652045 @default.
- W2949403225 date "2020-05-24" @default.
- W2949403225 modified "2023-10-01" @default.
- W2949403225 title "Minimal Resolutions of Monomial Ideals" @default.
- W2949403225 cites W1537258143 @default.
- W2949403225 cites W1623168034 @default.
- W2949403225 cites W1859397248 @default.
- W2949403225 cites W1970448231 @default.
- W2949403225 cites W1972786753 @default.
- W2949403225 cites W1986155058 @default.
- W2949403225 cites W1990905383 @default.
- W2949403225 cites W2025959085 @default.
- W2949403225 cites W2028543268 @default.
- W2949403225 cites W2033464338 @default.
- W2949403225 cites W2044465359 @default.
- W2949403225 cites W2055476458 @default.
- W2949403225 cites W2055975229 @default.
- W2949403225 cites W2060103041 @default.
- W2949403225 cites W2063808153 @default.
- W2949403225 cites W2064583534 @default.
- W2949403225 cites W2084872532 @default.
- W2949403225 cites W2109558467 @default.
- W2949403225 cites W2129582692 @default.
- W2949403225 cites W2134506831 @default.
- W2949403225 cites W2170699205 @default.
- W2949403225 cites W2170793153 @default.
- W2949403225 cites W2806337201 @default.
- W2949403225 cites W2951711467 @default.
- W2949403225 cites W2963129589 @default.
- W2949403225 cites W2963352698 @default.
- W2949403225 cites W2964281751 @default.
- W2949403225 cites W2973473267 @default.
- W2949403225 cites W3104007067 @default.
- W2949403225 hasPublicationYear "2020" @default.
- W2949403225 type Work @default.
- W2949403225 sameAs 2949403225 @default.
- W2949403225 citedByCount "6" @default.
- W2949403225 countsByYear W29494032252019 @default.
- W2949403225 countsByYear W29494032252020 @default.
- W2949403225 crossrefType "journal-article" @default.
- W2949403225 hasAuthorship W2949403225A5042652045 @default.
- W2949403225 hasConcept C111472728 @default.
- W2949403225 hasConcept C11252640 @default.
- W2949403225 hasConcept C114614502 @default.
- W2949403225 hasConcept C121332964 @default.
- W2949403225 hasConcept C134306372 @default.
- W2949403225 hasConcept C138885662 @default.
- W2949403225 hasConcept C24890656 @default.
- W2949403225 hasConcept C2776639384 @default.
- W2949403225 hasConcept C2777789435 @default.
- W2949403225 hasConcept C2781204021 @default.
- W2949403225 hasConcept C33923547 @default.
- W2949403225 hasConcept C90119067 @default.
- W2949403225 hasConcept C9485509 @default.
- W2949403225 hasConceptScore W2949403225C111472728 @default.
- W2949403225 hasConceptScore W2949403225C11252640 @default.
- W2949403225 hasConceptScore W2949403225C114614502 @default.
- W2949403225 hasConceptScore W2949403225C121332964 @default.
- W2949403225 hasConceptScore W2949403225C134306372 @default.
- W2949403225 hasConceptScore W2949403225C138885662 @default.
- W2949403225 hasConceptScore W2949403225C24890656 @default.
- W2949403225 hasConceptScore W2949403225C2776639384 @default.
- W2949403225 hasConceptScore W2949403225C2777789435 @default.
- W2949403225 hasConceptScore W2949403225C2781204021 @default.
- W2949403225 hasConceptScore W2949403225C33923547 @default.
- W2949403225 hasConceptScore W2949403225C90119067 @default.
- W2949403225 hasConceptScore W2949403225C9485509 @default.
- W2949403225 hasLocation W29494032251 @default.
- W2949403225 hasOpenAccess W2949403225 @default.
- W2949403225 hasPrimaryLocation W29494032251 @default.
- W2949403225 hasRelatedWork W1573607435 @default.
- W2949403225 hasRelatedWork W1875848822 @default.
- W2949403225 hasRelatedWork W2025959085 @default.
- W2949403225 hasRelatedWork W2043432915 @default.
- W2949403225 hasRelatedWork W2069797376 @default.
- W2949403225 hasRelatedWork W2148881506 @default.
- W2949403225 hasRelatedWork W2579530477 @default.
- W2949403225 hasRelatedWork W2581681430 @default.
- W2949403225 hasRelatedWork W2593370264 @default.
- W2949403225 hasRelatedWork W2607260500 @default.
- W2949403225 hasRelatedWork W2949220305 @default.
- W2949403225 hasRelatedWork W2949259044 @default.
- W2949403225 hasRelatedWork W2950675363 @default.
- W2949403225 hasRelatedWork W2963573086 @default.
- W2949403225 hasRelatedWork W2964311636 @default.
- W2949403225 hasRelatedWork W3037745584 @default.
- W2949403225 hasRelatedWork W3039845229 @default.
- W2949403225 hasRelatedWork W3133648276 @default.
- W2949403225 hasRelatedWork W3208741042 @default.
- W2949403225 hasRelatedWork W2573729032 @default.
- W2949403225 isParatext "false" @default.
- W2949403225 isRetracted "false" @default.
- W2949403225 magId "2949403225" @default.
- W2949403225 workType "article" @default.