Minimal systems of binomial generators and the indispensable complex of a toric ideal
| dc.contributor.author | Charalambous, H. | en |
| dc.contributor.author | Katsabekis, A. | en |
| dc.contributor.author | Thoma, A. | en |
| dc.date.accessioned | 2015-11-24T17:25:24Z | |
| dc.date.available | 2015-11-24T17:25:24Z | |
| dc.identifier.issn | 0002-9939 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13035 | |
| dc.rights | Default Licence | - |
| dc.subject | conditional distributions | en |
| dc.title | Minimal systems of binomial generators and the indispensable complex of a toric ideal | en |
| heal.abstract | Let A = {a(1),..., a(m)} subset of Z(n) be a vector configuration and I-A subset of K[ x(1),..., x(m)] its corresponding toric ideal. The paper consists of two parts. In the first part we completely determine the number of different minimal systems of binomial generators of IA. In the second part we associate to A a simplicial complex Delta(ind)( A). We show that the vertices of Delta(ind)( A) correspond to the indispensable monomials of the toric ideal IA, while one dimensional facets of Delta(ind)( A) with minimal binomial A-degree correspond to the indispensable binomials of I-A. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000249325000005 | - |
| heal.journalName | Proceedings of the American Mathematical Society | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2007 | - |
| heal.publisher | American Mathematical Society | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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