Radically principal MV-algebras

DOI10.1515/MS-2023-0004OpenAlexW4321117801MaRDI QIDQ2685551

Olivier A. Heubo-Kwegna, Jean B. Nganou

Publication date: 22 February 2023

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2023-0004

zbMATH Keywords

radical idealsstrongly semisimple MV-algebras\(\ell\)-groupshyperarchimedean MV-algebrasradically principal rings/MV-algebras

Mathematics Subject Classification ID

Lattices and duality (06D50) Stone spaces (Boolean spaces) and related structures (06E15) MV-algebras (06D35)

Cites Work

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• Representation theory of MV-algebras
• Profinite MV-algebras and multisets.
• Extending Stone duality to multisets and locally finite MV-algebras.
• An elementary presentation of the equivalence between MV-algebras and \(\ell\)-groups with strong unit
• Algebraic foundations of many-valued reasoning
• Categorical properties of compact Hausdorff MV-algebras
• Stone duality for real-valued multisets
• Products of Ideals in MV -algebras
• Some remarks on infinitesimals in MV-algebras

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