Filter topologies on MV-algebras

DOI10.1007/s00500-017-2574-yzbMath1386.06016OpenAlexW2600895461MaRDI QIDQ1701732

Yichuan Yang, Cuicui Luan

Publication date: 27 February 2018

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-017-2574-y

zbMATH Keywords

MV-algebraHausdorff spacefilter topologysemisimple MV-algebradense filter

Mathematics Subject Classification ID

MV-algebras (06D35) Topological lattices (06B30)

Related Items (8)

Two notions of MV-algebraic semisimplicity relative to fixed MV-chains ⋮ Interval convexity of scale effect algebras ⋮ On the Boolean algebra induced by a unital \(\ell\)-group ⋮ Topological characterization of semisimple MV-algebras ⋮ Filter topologies and topological MV-algebras ⋮ Topological characterization of filter topological MV-algebras ⋮ Filter and weak link topologies ⋮ Spectra and reticulation of semihoops

Cites Work

• The \(C\)-topology on lattice-ordered groups
• A characterization of closures and interiors
• A topology on lattice ordered groups

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