Semigroup rings and simplicial complexes
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Bruns, W | |
dc.contributor.author | Herzog, J | |
dc.date.accessioned | 2021-12-23T16:11:29Z | - |
dc.date.available | 2021-12-23T16:11:29Z | - |
dc.date.issued | 1997 | |
dc.identifier.issn | 00224049 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/9729 | - |
dc.description.abstract | We study the minimal free resolution F of a ring T = S/I where S is a positive affine semigroup ring over a field K, and I is an ideal in S generated by monomials. We will essentially use the fact that the multigraded Betti numbers of T can be computed from the relative homology of simplicial complexes that we shall call squarefree divisor complexes. In a sense, these simplicial complexes represent the divisibility relations in S if one neglects the multiplicities with which the irreducible elements appear in the representation of an element. In Section 1 we study the dependence of the free resolution on the characteristic of K. In Section 2 we show that, up to an equivalence in homotopy, every simplicial complex can be `realized' in a normal semigroup ring and also in a one-dimensional semigroup ring. Furthermore, we describe all the graphs among the squarefree divisor complexes. In Section 3 we deduce assertions about certain simplicial complexes of chessboard type from information about free resolutions of well-understood semigroup rings. (C) 1997 Elsevier Science B.V. | |
dc.language.iso | en | |
dc.publisher | ELSEVIER SCIENCE BV | |
dc.relation.ispartof | JOURNAL OF PURE AND APPLIED ALGEBRA | |
dc.subject | IDEALS | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.subject | RESOLUTIONS | |
dc.title | Semigroup rings and simplicial complexes | |
dc.type | journal article | |
dc.identifier.doi | 10.1016/S0022-4049(97)00051-0 | |
dc.identifier.isi | ISI:A1997YG48000003 | |
dc.description.volume | 122 | |
dc.description.issue | 3 | |
dc.description.startpage | 185 | |
dc.description.endpage | 208 | |
dc.publisher.place | PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS | |
dcterms.isPartOf.abbreviation | J. Pure Appl. Algebr. | |
dcterms.oaStatus | Bronze | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |
Seitenaufrufe
1
Letzte Woche
0
0
Letzter Monat
0
0
geprüft am 17.05.2024