Veröffentlicht

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

Schlagworte:

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

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Autor/innen

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

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.

Literaturhinweise

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.

Zitationsvorschlag

APA

Renata und 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 und 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, und 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 und Dinamérico (2009) „A direct proof of Noether’s second isomorphism theorem for abelian categories“, Revista Colombiana de Matemáticas, 43(1), S. 35–42. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/95514 (Zugegriffen: 22 Januar 2025).

IEEE

[1]
Renata und Dinamérico, „A direct proof of Noether’s second isomorphism theorem for abelian categories“, rev.colomb.mat, Bd. 43, Nr. 1, S. 35–42, Jan. 2009.

MLA

Renata, und Dinamérico. „A direct proof of Noether’s second isomorphism theorem for abelian categories“. Revista Colombiana de Matemáticas, Bd. 43, Nr. 1, Januar 2009, S. 35-42, https://revistas.unal.edu.co/index.php/recolma/article/view/95514.

Turabian

Renata, und Dinamérico. „A direct proof of Noether’s second isomorphism theorem for abelian categories“. Revista Colombiana de Matemáticas 43, no. 1 (Januar 1, 2009): 35–42. Zugegriffen Januar 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]. 1. Januar 2009 [zitiert 22. Januar 2025];43(1):35-42. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/95514

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