Publicação
Complements in modular and semimodular lattices
| Resumo: | 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. |
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| Autores principais: | Bordalo, G. H. |
| Outros Autores: | Rodrigues, E. |
| Assunto: | Semimodular lattices Modular lattices . Faculdade de Ciências Exatas e da Engenharia |
| Ano: | 1998 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade da Madeira |
| Idioma: | inglês |
| Origem: | DigitUMa - Repositório da Universidade da Madeira |
| Resumo: | 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. |
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