Fans, decision problems and generators of free abelian \(\ell\)-groups

DOI10.1515/forum-2016-0255zbMath1473.06023OpenAlexW2580945753MaRDI QIDQ1683673

Daniele Mundici

Publication date: 1 December 2017

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2016-0255

zbMATH Keywords

desingularizationdecision problemBaker-Beynon dualityabelian \(\ell\)-groupMarkov unrecognizability theoremnonsingular fan

Mathematics Subject Classification ID

General topology of complexes (57Q05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Computational aspects related to convexity (52B55) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Free lattices, projective lattices, word problems (06B25) Injectives, projectives (08B30)

Related Items (3)

Computing on Lattice-Ordered Abelian Groups ⋮ Recognizing free generating sets of \(\ell\)-groups ⋮ Are locally finite MV-algebras a variety?

Cites Work

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• Simple Bratteli diagrams with a Gödel-incomplete C*-equivalence problem
• Markov's theorem and algorithmically non-recognizable combinatorial manifolds
• Free Vector Lattices
• Finitely Presented Loops, Lattices, etc. are Hopfian
• Some Theorems on Hopficity

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