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Complements in modular and semimodular lattices

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Summary:We study the relations between the complements of a and b when a is covered by b on finite upper-semimodular lattices and when a < b on modular lattices. We give some results that generalize the well known properties of complements in distibutive lattices. From there, we derive a property of semisimple R-modules.
Main Authors:Bordalo, G. H.
Other Authors:Rodrigues, E.
Subject:Semimodular lattices Modular lattices . Faculdade de Ciências Exatas e da Engenharia
Year:1998
Country:Portugal
Document type:article
Access type:open access
Associated institution:Universidade da Madeira
Language:English
Origin:DigitUMa - Repositório da Universidade da Madeira

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