Lattice-ordered Abelian groups and Schauder bases of unimodular fans, II

DOI10.1090/S0002-9947-2013-05706-6zbMath1280.06013MaRDI QIDQ2838075

Vincenzo Marra

Publication date: 8 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Euler characteristiclinear independencelattice-ordered abelian groupunimodular fanregular fanmaximal spectral space\(\mathbb Z\)-module basisfree \(\ell\)-grouppairwise disjointnessprojective \(\ell\)-group

Mathematics Subject Classification ID

Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items

The logical content of triangular bases of fuzzy sets in Łukasiewicz infinite-valued logic, MV-algebras freely generated by finite Kleene algebras., Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality, Generalised states: a multi-sorted algebraic approach to probability, Separable MV-algebras and lattice-ordered groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Revisiting the free 2-generator abelian \(\ell\)-group
• Free generating sets of lattice-ordered abelian groups
• The underlying group of any finitely generated abelian lattice-ordered group is free
• Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras
• Schauder bases in Banach spaces of continuous functions
• Groupes et anneaux reticules
• Every Abelian \(\ell\)-group is ultrasimplicial
• Abelian groups without elements of finite order
• The Word Problem Versus the Isomorphism Problem
• Lattice-ordered Abelian groups and Schauder bases of unimodular fans
• Weinberg's theorem, Elliott's ultrasimplicial property, and a characterisation of free lattice-ordered Abelian groups
• Duality Theorems for Finitely Generated Vector Lattices
• Applications of Duality in the Theory of Finitely Generated Lattice-Ordered Abelian Groups
• Combinatorial Aspects of Piecewise Linear Functions
• Introduction to Topological Manifolds
• Free Vector Lattices
• Archimedean Vector Lattices Generated by Two Elements