Bordalo, G. H.Rodrigues, E.2022-02-242022-02-241998Bordalo, G. H., & Rodrigues, E. (1998). Complements in modular and semimodular lattices. Portugaliae Mathematica, 55(3), 373-380.http://hdl.handle.net/10400.13/4107We 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.engSemimodular latticesModular lattices.Faculdade de Ciências Exatas e da Engenhariajournal article