A direct proof of Noether’s second isomorphism theorem for abelian categories

Published

2009-01-01

A direct proof of Noether’s second isomorphism theorem for abelian categories

Prueba directa del segundo teorema de isomorfismo de Noether para categorías abelianas

Keywords:

Abelian categories, Noether isomorphism theorem (en)
Categorías abelianas, teorema del isomorfismo de Noether (es)

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Authors

Instituto Federal do Rio de Janeiro, Rio de Janeiro, Brasil
Universidade Federal Fluminense, Rio de Janeiro, Brasil

Abstract (en)
Abstract (es)

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

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

References

I. Bucur and A. Deleanu, Introduction to the theory of categories and functors, John Wiley & Sons, New York, 1968.

P. Freyd, Abelian categories, Harper and Row, New York, 1964.

A. Grothendieck, Sur quelques points d ’algèbre homologique, Tôhoku Math. J. 9 (1957), 119-221 (fr).

_____ Séminaire d ’algèbre homologique, 1re anée: 1957, Faculté des Sciences de Paris, Paris, 1958 (fr).

R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, vol. 52, Springer-Verlag, New York, 1977.

P. Hilton and Y. C. Wu, A course in modern algebra, John Wiley & Sons, New York, 1974.

S. Mac Lane, Categories for the working mathematician, Graduate Texts in Mathematics, vol.-5, Springer Verlag, New York, 1998.

S. Lang, Introduction to differentiable manifolds, Interscience, New York, 1962.

How to Cite

APA

Renata and Dinamérico. (2009). A direct proof of Noether’s second isomorphism theorem for abelian categories. Revista Colombiana de Matemáticas, 43(1), 35–42. https://revistas.unal.edu.co/index.php/recolma/article/view/95514

ACM

[1]

Renata and Dinamérico 2009. A direct proof of Noether’s second isomorphism theorem for abelian categories. Revista Colombiana de Matemáticas. 43, 1 (Jan. 2009), 35–42.

ACS

(1)

Renata; Dinamérico. A direct proof of Noether’s second isomorphism theorem for abelian categories. rev.colomb.mat 2009, 43, 35-42.

ABNT

RENATA; DINAMÉRICO. A direct proof of Noether’s second isomorphism theorem for abelian categories. Revista Colombiana de Matemáticas, [S. l.], v. 43, n. 1, p. 35–42, 2009. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/95514. Acesso em: 22 jan. 2025.

Chicago

Renata, and Dinamérico. 2009. “A direct proof of Noether’s second isomorphism theorem for abelian categories”. Revista Colombiana De Matemáticas 43 (1):35-42. https://revistas.unal.edu.co/index.php/recolma/article/view/95514.

Harvard

Renata and Dinamérico (2009) “A direct proof of Noether’s second isomorphism theorem for abelian categories”, Revista Colombiana de Matemáticas, 43(1), pp. 35–42. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/95514 (Accessed: 22 January 2025).

IEEE

[1]

Renata and Dinamérico, “A direct proof of Noether’s second isomorphism theorem for abelian categories”, rev.colomb.mat, vol. 43, no. 1, pp. 35–42, Jan. 2009.

MLA

Renata, and Dinamérico. “A direct proof of Noether’s second isomorphism theorem for abelian categories”. Revista Colombiana de Matemáticas, vol. 43, no. 1, Jan. 2009, pp. 35-42, https://revistas.unal.edu.co/index.php/recolma/article/view/95514.

Turabian

Renata, and Dinamérico. “A direct proof of Noether’s second isomorphism theorem for abelian categories”. Revista Colombiana de Matemáticas 43, no. 1 (January 1, 2009): 35–42. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/95514.

Vancouver

1.

Renata, Dinamérico. A direct proof of Noether’s second isomorphism theorem for abelian categories. rev.colomb.mat [Internet]. 2009 Jan. 1 [cited 2025 Jan. 22];43(1):35-42. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/95514