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The relation type of affine algebras and algebraic varieties
dc.contributor.author | Planas Vilanova, Francesc d'Assís |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2016-01-26T12:41:29Z |
dc.date.available | 2016-11-01T01:30:19Z |
dc.date.issued | 2015-11-01 |
dc.identifier.citation | Planas-Vilanova, F. A. The relation type of affine algebras and algebraic varieties. "Journal of algebra", 01 Novembre 2015, vol. 441, p. 166-179. |
dc.identifier.issn | 0021-8693 |
dc.identifier.uri | http://hdl.handle.net/2117/82051 |
dc.description.abstract | We introduce the notion of relation type of an affine algebra and prove that it is well defined by using the Jacobi-Zariski exact sequence of Andre-Quillen homology. In particular, the relation type,is an invariant of an affine algebraic variety. Also as a consequence of the invariance, we show that in order to calculate the relation type of an ideal in a polynomial ring one can reduce the problem to trinomial ideals. When the relation type is at least two, the extreme equidimensional components play no role. This leads to the non-existence of affine algebras of embedding dimension three and relation type two. (C) 2015 Elsevier Inc. All rights reserved. |
dc.format.extent | 14 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.other | Relation type |
dc.subject.other | Rees algebra |
dc.subject.other | Andre-Quillen homology |
dc.subject.other | rees-algebras |
dc.subject.other | ideals |
dc.subject.other | equations |
dc.subject.other | powers |
dc.subject.other | rings |
dc.title | The relation type of affine algebras and algebraic varieties |
dc.type | Article |
dc.subject.lemac | Anells commutatius |
dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
dc.identifier.doi | 10.1016/j.jalgebra.2015.07.019 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::13 Commutative rings and algebras |
dc.subject.ams | Classificació AMS::14 Algebraic geometry::14A Foundations |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0021869315003828 |
dc.rights.access | Open Access |
local.identifier.drac | 16979245 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Planas-Vilanova, F. A. |
local.citation.publicationName | Journal of algebra |
local.citation.volume | 441 |
local.citation.startingPage | 166 |
local.citation.endingPage | 179 |
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