Free minimal resolutions and the Betti numbers of the suspension of an n-gon
Consider the general n-gon with vertices at the points 1,2,…,n. Then its suspension involves two more vertices, say at n+1 and n+2. Let R be the polynomial ring k[x1,x2,…,xn], where k is any field. Then we can associate an ideal I to our suspension in the Stanley-Reisner sense. In this paper, we fi...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200001563 |
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| _version_ | 1832545755984822272 |
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| author | Tilak de Alwis |
| author_facet | Tilak de Alwis |
| author_sort | Tilak de Alwis |
| collection | DOAJ |
| description | Consider the general n-gon with vertices at the points
1,2,…,n. Then its suspension involves two more vertices, say
at n+1 and n+2. Let R be the polynomial ring k[x1,x2,…,xn], where k is any field. Then we can associate an ideal I to our suspension in the Stanley-Reisner
sense. In this paper, we find a free minimal resolution and the
Betti numbers of the R-module R/I. |
| format | Article |
| id | doaj-art-fb8d403d28e041b7b247244f9ae5c48f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fb8d403d28e041b7b247244f9ae5c48f2025-02-03T07:24:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123321121610.1155/S0161171200001563Free minimal resolutions and the Betti numbers of the suspension of an n-gonTilak de Alwis0Department of Mathematics, Southeastern Louisiana University, Hammond, Louisiana 70402, USAConsider the general n-gon with vertices at the points 1,2,…,n. Then its suspension involves two more vertices, say at n+1 and n+2. Let R be the polynomial ring k[x1,x2,…,xn], where k is any field. Then we can associate an ideal I to our suspension in the Stanley-Reisner sense. In this paper, we find a free minimal resolution and the Betti numbers of the R-module R/I.http://dx.doi.org/10.1155/S0161171200001563Suspensionfinite abstract simplicial complexStanley-Reisner idealfree-minimal resolution Betti numbersdouble complex. |
| spellingShingle | Tilak de Alwis Free minimal resolutions and the Betti numbers of the suspension of an n-gon International Journal of Mathematics and Mathematical Sciences Suspension finite abstract simplicial complex Stanley-Reisner ideal free-minimal resolution Betti numbers double complex. |
| title | Free minimal resolutions and the Betti numbers of the suspension of an n-gon |
| title_full | Free minimal resolutions and the Betti numbers of the suspension of an n-gon |
| title_fullStr | Free minimal resolutions and the Betti numbers of the suspension of an n-gon |
| title_full_unstemmed | Free minimal resolutions and the Betti numbers of the suspension of an n-gon |
| title_short | Free minimal resolutions and the Betti numbers of the suspension of an n-gon |
| title_sort | free minimal resolutions and the betti numbers of the suspension of an n gon |
| topic | Suspension finite abstract simplicial complex Stanley-Reisner ideal free-minimal resolution Betti numbers double complex. |
| url | http://dx.doi.org/10.1155/S0161171200001563 |
| work_keys_str_mv | AT tilakdealwis freeminimalresolutionsandthebettinumbersofthesuspensionofanngon |