dc.creator | Gago Vargas, Manuel Jesús | |
dc.date.accessioned | 2015-03-25T11:15:14Z | |
dc.date.available | 2015-03-25T11:15:14Z | |
dc.date.issued | 2002-06-25 | |
dc.identifier.citation | Gago Vargas, M.J. (2002). Constructions in R[x_1, ..., x_n]. Applications to K-Theory. Journal of Pure and Applied Algebra, 171 (2-3), 185-196. | es |
dc.identifier.issn | 0022-4049 | es |
dc.identifier.uri | http://hdl.handle.net/11441/23535 | |
dc.description.abstract | A classical result in K-Theory about polynomial rings like the Quillen-Suslin
theorem admits an algorithmic approach when the ring of coefficients has some
computational properties, associated with Gröbner bases. There are several
algorithms when we work in $\K[\x]$, $\K$ a field. In this paper we compute a
free basis of a finitely generated projective module over $R[\x]$, $R$ a
principal ideal domain with additional properties, test the freeness for
projective modules over $D[\x]$, with $D$ a Dedekind domain like
$\Zset[\sqrt{-5}]$ and for the one variable case compute a free basis if there
exists any. | es |
dc.description.sponsorship | DGICYT PB97-0723, Junta de Andalucía FQM-218 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Journal of Pure and Applied Algebra, 171 (2-3), 185-196. | es |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Serre Conjecture | es |
dc.subject | Quillen-Suslin Theorem | es |
dc.subject | Gröbner bases | es |
dc.subject | Dedekind domains | es |
dc.subject | projective modules | es |
dc.title | Constructions in R[x_1, ..., x_n]. Applications to K-Theory | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Álgebra | es |
dc.relation.publisherversion | 10.1016/S0022-4049(01)00136-0 | es |
dc.journaltitle | Journal of Pure and Applied Algebra | es |
dc.publication.volumen | 171 | es |
dc.publication.issue | 02/03/17 | es |
dc.publication.initialPage | 185 | es |
dc.publication.endPage | 196 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/23535 | |
dc.contributor.funder | Junta de Andalucía | |