Direct decompositions of non-algebraic complete lattices

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dc.creatorWehrung, Friedrich
dc.date2005-01-22
dc.date.accessioned2026-07-07T05:16:17Z
dc.date.available2026-07-07T05:16:17Z
dc.descriptionFor a given complete lattice L, we investigate whether L can be decomposed as a direct product of directly indecomposable lattices. We prove that this is the case if every element of L is a join of join-irreducible elements and dually, thus extending to non-algebraic lattices a result of L. Libkin. We illustrate this by various examples and counterexamples.
dc.identifierhttps://arxiv.org/abs/math/0501373
dc.identifierhttp://arxiv.org/abs/math/0501373
dc.identifierDiscrete Mathematics 263, Issues 1-3 (2003) 311--321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73927
dc.subjectGeneral Mathematics
dc.subject06B05, 06B23, 06B35, 06D05
dc.titleDirect decompositions of non-algebraic complete lattices
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