Normal domains with monomial presentations

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dc.creatorGoffa, Isabel
dc.creatorJespers, Eric
dc.creatorOkninski, Jan
dc.date2007-11-05
dc.date2009-04-05
dc.date.accessioned2026-07-07T12:59:50Z
dc.date.available2026-07-07T12:59:50Z
dc.descriptionLet A be a finitely generated commutative algebra over a field K with a presentation A=K < X_{1}, ..., X_{n} | R >, where R is a set of monomial relations in the generators X_{1}, ..., X_{n}. So A = K[S], the semigroup algebra of the monoid S=< X_{1}, ..., X_{n} | R >. We characterize, purely in terms of the defining relations, when A is an integrally closed domain, provided R contains at most two relations. Also the class group of such algebras A is calculated.
dc.description17 pages, 0 figures, to appear in International Journal of Algebra and Computation
dc.identifierhttps://arxiv.org/abs/0711.0596
dc.identifierhttp://arxiv.org/abs/0711.0596
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225690
dc.subjectRings and Algebras
dc.subjectCommutative Algebra
dc.subject16S36, 13B22
dc.titleNormal domains with monomial presentations
dc.typetext

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