Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 49, No. 2, pp. 315323 (2008) 

Tame homomorphisms of polytopal ringsViveka ErlandssonDepartment of Mathematics, City University of New York, Graduate Center, 365 Fifth Avenue,New York, NY 10016, email: 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), 479500. Keywords: Polytopal ring, graded kalgebra homomorphism, tame homomorphism Classification (MSC2000): 13F99, 14M25 Full text of the article:
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