Regularity and K0-group of quadric solvable polynomial algebras

dc.citation.epage634en_US
dc.citation.issueNumber2en_US
dc.citation.spage608en_US
dc.citation.volumeNumber267en_US
dc.contributor.authorLi, Huishien_US
dc.date.accessioned2016-02-08T10:29:15Z
dc.date.available2016-02-08T10:29:15Z
dc.date.issued2003en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractConcerning solvable polynomial algebras in the sense of Kandri-Rody and Weispfenning [J. Symbolic Comput. 9 (1990) 1-26], it is shown how to recognize and construct quadric solvable polynomial algebras in an algorithmic way. If A = k[a1,..., an] is a quadric solvable polynomial algebra, it is proved that gl.dim A ≤ n and K0(A) ≅ ℤ. If A is a tame quadric solvable polynomial algebra, it is shown that A is completely constructable and Auslander regular.en_US
dc.identifier.doi10.1016/S0021-8693(03)00149-2en_US
dc.identifier.eissn1090-266Xen_US
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/24430
dc.language.isoEnglishen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/S0021-8693(03)00149-2en_US
dc.source.titleJournal of Algebraen_US
dc.subject≥gr-filtrationen_US
dc.subjectGlobal dimensionen_US
dc.subjectGröbner basisen_US
dc.subjectK0-groupen_US
dc.subjectSolvable polynomial algebraen_US
dc.titleRegularity and K0-group of quadric solvable polynomial algebrasen_US
dc.typeArticleen_US

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