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The prime ideal structure of the Minkowski ring of polytopes

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Publication:1196777
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DOI10.1016/0022-4049(92)90107-QzbMath0756.52015OpenAlexW1980495033WikidataQ128114620 ScholiaQ128114620MaRDI QIDQ1196777

Klaus G. Fischer, Jay Shapiro

Publication date: 16 January 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90107-q


zbMATH Keywords

polytopescharacteristic functionsMinkowski sumMinkowski ring of polytopes


Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Polytopes and polyhedra (52B99) General commutative ring theory (13A99)


Related Items (1)

Valuations and Tensor Weights on Polytopes



Cites Work

  • Valuations and polarity
  • Minkowski addition and mixed volumes
  • The polytope algebra
  • THE GEOMETRY OF TORIC VARIETIES
  • Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
  • Unnamed Item


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