Polytopal linear retractions

DC FieldValueLanguage
dc.contributor.authorBruns, W
dc.contributor.authorGubeladze, J
dc.date.accessioned2021-12-23T16:06:13Z-
dc.date.available2021-12-23T16:06:13Z-
dc.date.issued2002
dc.identifier.issn00029947
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/7320-
dc.description.abstractWe investigate graded retracts of polytopal algebras (essentially the homogeneous rings of affine cones over projective toric varieties) as polytopal analogues of vector spaces. In many cases we show that these retracts are again polytopal algebras and that codimension 1 retractions factor through retractions preserving the semigroup structure. We expect that these results hold in general. This paper is a part of the project started by the authors in 1999, where we investigate the graded automorphism groups of polytopal algebras. Part of the motivation comes from the observation that there is a reasonable `polytopal' generalization of linear algebra (and, subsequently, that of algebraic K-theory).
dc.language.isoen
dc.publisherAMER MATHEMATICAL SOC
dc.relation.ispartofTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
dc.subjectaffine semigroup ring
dc.subjectbinomial ideal
dc.subjectMathematics
dc.subjectpolytopal algebra
dc.subjectretracts
dc.titlePolytopal linear retractions
dc.typejournal article
dc.identifier.doi10.1090/S0002-9947-01-02703-9
dc.identifier.isiISI:000171236000009
dc.description.volume354
dc.description.issue1
dc.description.startpage179
dc.description.endpage203
dc.identifier.eissn10886850
dc.publisher.place201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
dcterms.isPartOf.abbreviationTrans. Am. Math. Soc.
dcterms.oaStatushybrid
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidBrWi827-
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