Representation theory of MV-algebras
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Publication:636342
DOI10.1016/j.apal.2009.12.006zbMath1229.06006arXiv0809.1187OpenAlexW1968981513MaRDI QIDQ636342
Eduardo J. Dubuc, Yuri A. Poveda
Publication date: 26 August 2011
Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.1187
Related Items (32)
A representation theorem for integral rigs and its applications to residuated lattices. ⋮ Some remarks on infinitesimals in MV-algebras ⋮ Sheaves of abelian \(l\)-groups ⋮ MV-algebras as sheaves of \(\ell\)-groups on fuzzy topological spaces ⋮ Idempotent endomorphisms of free MV-algebras and unital \(\ell\)-groups ⋮ On the geometric theory of local MV-algebras ⋮ A non-commutative Priestley duality. ⋮ The Differential Semantics of Łukasiewicz Syntactic Consequence ⋮ LATTICE-ORDERED ABELIAN GROUPS AND PERFECT MV-ALGEBRAS: A TOPOS-THEORETIC PERSPECTIVE ⋮ A set-theoretic proof of the representation of MV-algebras by sheaves ⋮ Yosida frames in free abelian \(\ell \)-groups ⋮ Bouligand-Severi \(k\)-tangents and strongly semisimple MV-algebras. ⋮ Unnamed Item ⋮ Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality ⋮ Radically principal MV-algebras ⋮ Polyhedral MV-algebras ⋮ MV-semirings and their sheaf representations ⋮ Bouligand-Severi tangents in MV-algebras. ⋮ The Morita-equivalence between MV-algebras and lattice-ordered abelian groups with strong unit. ⋮ Sheaves and duality ⋮ MV-algebras, infinite dimensional polyhedra, and natural dualities ⋮ Abelian lattice-ordered groups and a characterization of the maximal spectrum of a Prüfer domain. ⋮ MVW-rigs and product MV-algebras ⋮ ALGEBRAIC GEOMETRY FOR MV-ALGEBRAS ⋮ The semiring-theoretic approach to MV-algebras: a survey ⋮ Finite axiomatizability in Łukasiewicz logic ⋮ Categorical equivalence between \(\mathrm{PMV}_f \)-product algebras and semi-low \(f_u \)-rings ⋮ On finite MTL-algebras that are representable as poset products of Archimedean chains ⋮ Unnamed Item ⋮ Sheaf representations and locality of Riesz spaces with order unit ⋮ The spectrum problem for abelian \(\ell\)-groups and MV-algebras ⋮ Stone duality for real-valued multisets
Cites Work
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- Local algebras in the representation of MV-algebras
- Sheaves in geometry and logic: a first introduction to topos theory
- Extending Stone duality to multisets and locally finite MV-algebras.
- Algebraic foundations of many-valued reasoning
- Yosida frames
- An extension of the Galois theory of Grothendieck
- Free Lattice-Ordered Groups Represented as o-2 Transitive l-Permutation Groups
- Prime Ideal Structure in Commutative Rings
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