Batista, Alex de MouraMedeiros, Jeano Carlos Alves de2023-01-092023-01-092022-12-15MEDEIROS, Jeano Carlos Alves de. Uma Introdução às Cadeias Algébricas. Orientador: Alex de Moura Batista. 2022. 57 f. 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/123456789/50870The present work aims to present algebra results, more precisely, on Noetherian rings and Artinian rings. These rings satisfy, respectively, the conditions of increasing chain and decreasing chain condition for ideals. At first, in Chapter 1, will be presented the definition, examples and demonstration of results related to rings, ideals, maximal ideals, nilradical, Jacobson radical, quotient rings, homomorphism and exact sequence. Then, in Chapter 2, it will be presented the definition of Noetherian ring, its equivalences and from the concepts previously exposed, we will prove some results of Noetherian rings. Soon after, in a similar way, we present the definition of the Artinian ring, it equivalence and some results.Attribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/AnéisIdeaisAnéis NoetherianosAnéis ArtinianosbachelorThesisCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRA