Specializations of Multigradings and the Arithmetical Rank of Lattice Ideals
| dc.contributor.author | Katsabekis, A. | en |
| dc.contributor.author | Thoma, A. | en |
| dc.date.accessioned | 2015-11-24T17:28:15Z | |
| dc.date.available | 2015-11-24T17:28:15Z | |
| dc.identifier.issn | 0092-7872 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13518 | |
| dc.rights | Default Licence | - |
| dc.subject | arithmetical rank | en |
| dc.subject | lattice ideals | en |
| dc.subject | multigradings | en |
| dc.subject | simplicial complex | en |
| dc.subject | toric varieties | en |
| dc.subject | rings | en |
| dc.title | Specializations of Multigradings and the Arithmetical Rank of Lattice Ideals | en |
| heal.abstract | In this article, we study specializations of multigradings and apply them to the problem of the computation of the arithmetical rank of a lattice ideal ILG< subset of>K[x1,..., xn]. The arithmetical rank of ILG equals the F-homogeneous arithmetical rank of ILG, for an appropriate specialization F of G. To the lattice ideal ILG and every specialization F of G, we associate a simplicial complex. We prove that combinatorial invariants of the simplicial complex provide lower bounds for the F-homogeneous arithmetical rank of ILG. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | Doi 10.1080/00927870903034821 | - |
| heal.identifier.secondary | <Go to ISI>://000277737500023 | - |
| heal.identifier.secondary | http://www.tandfonline.com/doi/pdf/10.1080/00927870903034821 | - |
| heal.journalName | Communications in Algebra | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2010 | - |
| heal.publisher | Taylor & Francis | 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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