Ext à la Yoneda without the Schanuel lemma
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- by Rudolf Fritsch PDF
- Proc. Amer. Math. Soc. 57 (1976), 39-42 Request permission
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
- Reinhold Baer, Erweiterung von Gruppen und ihren Isomorphismen, Math. Z. 38 (1934), no. 1, 375–416 (German). MR 1545456, DOI 10.1007/BF01170643
- Hans-Berndt Brinkmann, Equivalence of $n$-extensions, Arch. Math. (Basel) 19 (1968), 624–626 (1969). MR 241499, DOI 10.1007/BF01899393
- Hans-Berndt Brinkmann, Baer addition of extensions, Manuscripta Math. 1 (1969), 99–109. MR 242917, DOI 10.1007/BF01171137
- David A. Buchsbaum, A note on homology in categories, Ann. of Math. (2) 69 (1959), 66–74. MR 140556, DOI 10.2307/1970093
- Saunders MacLane, Homology, 1st ed., Die Grundlehren der mathematischen Wissenschaften, Band 114, Springer-Verlag, Berlin-New York, 1967. MR 0349792
- Barry Mitchell, Theory of categories, Pure and Applied Mathematics, Vol. XVII, Academic Press, New York-London, 1965. MR 0202787
- Nobuo Yoneda, On the homology theory of modules, J. Fac. Sci. Univ. Tokyo Sect. I 7 (1954), 193–227. MR 68832
- Nobuo Yoneda, On Ext and exact sequences, J. Fac. Sci. Univ. Tokyo Sect. I 8 (1960), 507–576 (1960). MR 225854
Additional Information
- © Copyright 1976 American Mathematical Society
- 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