Balanced d-lattices are complemented

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dc.creatorGoldstern, Martin
dc.creatorPloscica, Miroslav
dc.date2001-11-27
dc.date.accessioned2026-07-07T04:44:48Z
dc.date.available2026-07-07T04:44:48Z
dc.descriptionWe show that all balanced d-lattices must be complemented, answering a question of Chajda and Eigenthaler. (A bounded lattice is balanced if any two congruences agree on their 1-classes iff they agree on their 0-classes.) Our main tool is the characterization of d-lattices (a class of bounded lattices including the bounded distributive lattices, originally defined by a property of their compact congruences) as exactly those lattices in which all maximal filters/ideals are prime.
dc.description4 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0111282
dc.identifierhttp://arxiv.org/abs/math/0111282
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62742
dc.subjectRings and Algebras
dc.subject06B10; 08A30
dc.titleBalanced d-lattices are complemented
dc.typetext

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