¹Instituto Federal do Rio de Janeiro, Rio de Janeiro, Brasil. Email: reabarros@yahoo.com.br
²Universidade Federal Fluminense, Rio de Janeiro, Brasil. Email: dpombo@terra.com.br

A direct and simple proof of Noether's second isomorphism theorem for abelian categories is obtained.

Key words: Abelian categories, Noether isomorphism theorem.

Obtenemos una demonstración directa y simple del segundo teorema de isomorfismo de Noether para categorías abelianas.

Palabras clave: Categorías abelianas, teorema del isomorfismo de Noether.

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References

[1] Bucur, I. & Deleanu, A., Introduction to the Theory of Categories and Functors, John Wiley & Sons, New York, 1968.         [ Links ]

[2] Freyd, P., Abelian Categories, Harper and Row, New York, 1964.         [ Links ]

[3] Grothendieck, A., `Sur quelques points d'algèbre homologique´, Tôhoku Math. J. 9, (1957), 119-221.         [ Links ]

[4] Grothendieck, A., Séminaire d'Algèbre Homologique, 1re anée: 1957, Faculté des Sciences de Paris, Paris, 1958.         [ Links ]

[5] Hartshorne, R., Algebraic Geometry, Vol. 52 of Graduate Texts in Mathematics, Springer-Verlag, New York, 1977.         [ Links ]

[6] Hilton, P. & Wu, Y., A Course in Modern Algebra, John Wiley & Sons, New York, 1974.         [ Links ]

[7] Lang, S., Introduction to Differentiable Manifolds, Interscience, New York, 1962.         [ Links ]

[8] Mac Lane, S., Categories for the Working Mathematician, Vol. 5 edition Second of Graduate Texts in Mathematics, Springer Verlag, New York, 1998.         [ Links ]

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