Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Ext à la Yoneda without the Schanuel lemma


Author: Rudolf Fritsch
Journal: Proc. Amer. Math. Soc. 57 (1976), 39-42
MSC: Primary 18G15
DOI: https://doi.org/10.1090/S0002-9939-1976-0480701-6
MathSciNet review: 0480701
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: By means of a more precise treatment of the congruence relation between $ n$-extensions we show that it is possible to avoid the Schanuel Lemma for proving some results on the functors Ext.


References [Enhancements On Off] (What's this?)

  • [1] R. Baer, Erweiterung von Gruppen und ihren Isomorphismen, Math. Z. 38 (1934), 375-416. MR 1545456
  • [2] H.-B. Brinkmann, Equivalence of $ n$-extensions, Arch. Math. (Basel) 19 (1968), 624-626 (1969). MR 39 #2839. MR 0241499 (39:2839)
  • [3] H.-B. Brinkmann, Baer addition of extensions, Manuscripta Math. 1 (1969), 99-109. MR 39 #4244. MR 0242917 (39:4244)
  • [4] D. A. Buchsbaum, A note on homology in categories, Ann. of Math. (2) 69 (1959), 66-74. MR 25 #3974. MR 0140556 (25:3974)
  • [5] S. Mac Lane, Homology, Die Grundlehren der math. Wissenschaften in Einzeldarstellungen, Band 114, Springer-Verlag, Berlin and New York, 1967. MR 0349792 (50:2285)
  • [6] B. Mitchell, Theory of categories, Pure and Appl. Math., vol. 17, Academic Press, New York and London, 1965. MR 34 #2647. MR 0202787 (34:2647)
  • [7] N. Yoneda, On the homology theory of modules, J. Fac. Sci. Univ. Tokyo Sect. I 7 (1954), 193-227. MR 16, 947. MR 0068832 (16:947d)
  • [8] -, On Ext and exact sequences, J. Fac. Sci. Univ. Tokyo Sect. I 8 (1960), 507-576. MR 37 #1445. MR 0225854 (37:1445)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 18G15

Retrieve articles in all journals with MSC: 18G15


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0480701-6
Keywords: $ n$-extension, congruence, morphism with fixed ends
Article copyright: © Copyright 1976 American Mathematical Society

American Mathematical Society