Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 49, No. 2, pp. 315-323 (2008) |
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Tame homomorphisms of polytopal ringsViveka ErlandssonDepartment of Mathematics, City University of New York, Graduate Center, 365 Fifth Avenue,New York, NY 10016, e-mail: verlandsson@gc.cuny.eduAbstract: The object of this paper is the tameness conjecture introduced in [B], which describes an arbitrary graded $k$-algebra homomorphism of polytopal rings. We will give further evidence of this conjecture by showing supporting results concerning joins, multiples and products of polytopes. [B] Bruns, W.; Gubeladze, J.: \emph{Polytopal Linear Algebra}. Beitr. Algebra Geom. \textbf{43} (2002), 479--500. Keywords: Polytopal ring, graded k-algebra homomorphism, tame homomorphism Classification (MSC2000): 13F99, 14M25 Full text of the article:
Electronic version published on: 18 Sep 2008. This page was last modified: 28 Jan 2013.
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