Pubblicato

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

Parole chiave:

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

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Autori

  • 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.

Riferimenti bibliografici

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.

Come citare

APA

Renata e 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 e Dinamérico 2009. A direct proof of Noether’s second isomorphism theorem for abelian categories. Revista Colombiana de Matemáticas. 43, 1 (gen. 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: 2 feb. 2025.

Chicago

Renata, e 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 e Dinamérico (2009) «A direct proof of Noether’s second isomorphism theorem for abelian categories», Revista Colombiana de Matemáticas, 43(1), pagg. 35–42. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/95514 (Consultato: 2 febbraio 2025).

IEEE

[1]
Renata e Dinamérico, «A direct proof of Noether’s second isomorphism theorem for abelian categories», rev.colomb.mat, vol. 43, n. 1, pagg. 35–42, gen. 2009.

MLA

Renata, e Dinamérico. «A direct proof of Noether’s second isomorphism theorem for abelian categories». Revista Colombiana de Matemáticas, vol. 43, n. 1, gennaio 2009, pagg. 35-42, https://revistas.unal.edu.co/index.php/recolma/article/view/95514.

Turabian

Renata, e Dinamérico. «A direct proof of Noether’s second isomorphism theorem for abelian categories». Revista Colombiana de Matemáticas 43, no. 1 (gennaio 1, 2009): 35–42. Consultato febbraio 2, 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 gennaio 2009 [citato 2 febbraio 2025];43(1):35-42. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/95514

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