Batista, Alex de MouraSantos, Marcílio José Dantas2022-08-222022-08-222022-07-26SANTOS, Marcílio José Dantas Santos. Uma introdução ao lema de Nakayama. 2022. 38f. Trabalho de Conclusão de Curso (Licenciatura em Matemática) - Departamento de Ciências Exatas e Aplicadas, Universidade Federal do Rio Grande do Norte, Caicó, 2022.https://repositorio.ufrn.br/handle/123456789/49196This work aims at explaining and proving the Nakayama's lemma governing the interaction between the Jacobson radical of a ring (typically a commutative ring) and its finitely generated modules. To achieve this objective we have here concepts of abstract algebra such as rings, ideals, and maximal ideals, discussing the Jacobson radical, finitely generated modules, and modules that we associate with the concept of vector space.Attribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/Lema de NakayamaAnéisRadical de JacobsonA-módulosIdeaisAnéis - MatemáticaIdeais - MatemáticabachelorThesis