THE LOOMIS–SIKORSKI THEOREM FOR -ALGEBRAS

DOI10.1017/S1446788718000101zbMath1439.06007arXiv1707.00270OpenAlexW2962830782WikidataQ129341578 ScholiaQ129341578MaRDI QIDQ3122316

Anatolij Dvurečenskij, Omid Zahiri

Publication date: 20 March 2019

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

Full work available at URL: https://arxiv.org/abs/1707.00270

zbMATH Keywords

hull-kernel topologyidealfilterMV-algebrastate-morphismidempotent elementLoomis-Sikorski theoremEMV-algebraEMV-clan\({\sigma}\)-complete EMV-algebraEMV-tribe

Mathematics Subject Classification ID

Complete lattices, completions (06B23) MV-algebras (06D35) Topological lattices (06B30)

Related Items (5)

Locally \(\sigma \)-complete and locally complete EMV-algebras ⋮ On EMV-algebras with square roots ⋮ Generalized pseudo-EMV-effect algebras ⋮ A variety containing EMV-algebras and Pierce sheaves of EMV-algebras ⋮ States on EMV-algebras

Cites Work

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• Semisimple Algebras of Infinite Valued Logic and Bold Fuzzy Set Theory
• Algebraic Analysis of Many Valued Logics
• Pseudo MV-algebras are intervals in ℓ-groups
• On the representation of 𝜎-complete Boolean algebras
• On the representation of Boolean algebras as fields of sets

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