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Complements in modular and semimodular lattices
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Autores
Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Semimodular lattices Modular lattices . Faculdade de Ciências Exatas e da Engenharia
Contexto Educativo
Citação
Bordalo, G. H., & Rodrigues, E. (1998). Complements in modular and semimodular lattices. Portugaliae Mathematica, 55(3), 373-380.