Ementa: |
Anéis Associativos Não Comutativos, Álgebras Associativas Não Comutativas, Ideais Unilaterais e Bilaterais, Módulos, Anéis e Módulos Noetherianos e Artinianos, Módulos Simples e Semisimples, Teorema de Densidade, Teorema de Wedderburn-Artin, Radical de Jacobson, Aneis e Ideais Nil e Nipotentes. |
Referências: |
1. Herstein, I.N. Noncommutative rings, The Mathematical Association of America/ 1968 Reprint in Mathematical Monographs, 15, Mathematical Association of America/ Washington, DC/ 19942. Ferrero, M. Teoremas de estrutura para álgebras semi-simples, XVI Escola de Álgebra, Parte III, Editores: N.Rocco, S.Sidki/ Brasília/ 20003. Lam, T.Y. A first course in noncommutative rings, Springer-Verlag/ 19914. Jacobson, N. Structure of rings, AMS Colloquium Publications, Vol. 37 Revised edition AMS, Providence, R.I./19645. Lang, S. Algebra, Graduate Texts in Mathematics, 211 (Revised third ed.), Springer-Verlag/ New York/2002 Bibliografia suplementar:1. Lambek, J. Lectures on rings and modules, Chelsea P. Co./ New York/ 19762. Herstein, I.N. Topics in algebra, 2nd Edition, Xerox Corporation/ Wiley/ 19753. Kasch, F. Modules and Rings, London Math. Soc. Monographs, 17, Academic Press Inc./ London/1982 4. Goodearl, K.R., Warfield Jr., R.B. An introduction to noncommutative Noetherian rings, London Math. Soc. Student Texts, 16, Cambridge University Press/ Cambridge/1989 5. Rowen, L.H. Ring theory, Academic Press/ San Diego/19886. Jacobson, N. Basic algebra, 1 (2nd ed.), Dover/2009 |