On Banaschewski functions in lattices

DOI10.1007/BF01190414zbMath0724.06007OpenAlexW2030705607MaRDI QIDQ2276991

Pekka Sorjonen, Mikko Saarimäki

Publication date: 1991

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190414

zbMATH Keywords

closure operationsBanaschewski functionB-latticeexistence theorems for B-functions

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Complemented modular lattices, continuous geometries (06C20) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (2)

Coordinatization of lattices by regular rings without unit and Banaschewski functions ⋮ A non-coordinatizable sectionally complemented modular lattice with a large Jónsson four-frame

Cites Work

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• Section semicomplemented lattices
• Totalgeordnete Moduln
• The dual space of a totally ordered abelian group
• On the De Morgan formulae and the antitony of complements in lattices
• Semimodularity in lattices of finite length

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