Exact categories
Chapter
First Online:
Keywords
Exact Sequence Natural Transformation Full Subcategory Abelian Category Finite Limit
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- [Ar]M. Artin, Grothendieck Topologies, Cambridge: Harvard University Press, 1962.zbMATHGoogle Scholar
- [B-C]M.Barr, Non-abelian full embedding, Outline, to appear in"Actes du Congrès International des Mathématiciens, 1970".Google Scholar
- [B-M]M. Barr, Non-abelian full embedding, announcement of Results, in "Reports of the Midwest Category Seminar V", Lecture Notes in Math. 195, Berlin-Heidelberg-New York: Springer, 1971.CrossRefGoogle Scholar
- [BB]M. Barr and J. Beck, Homology and standard constructions, in "Seminar on Triples and Categorical Homology Theory", Lecture Notes in Math. 80 Berlin-Heidelberg-New York: Springer, 1969.Google Scholar
- [Be]J.Beck, Triples, Algebras and Cohomology, Dissertation, Columbia University, 1967.Google Scholar
- [BP]H.-B. Brinkmann and D. Puppe, Abelsche und exakte Kategorien, Korrespondenzen, Lecture Notes in Math. 96, Berlin-Heidelberg-New York: Springer, 1969.CrossRefzbMATHGoogle Scholar
- [CE]H. Cartan and S. Eilenberg, "Homological Algebra", Princeton: Princeton University Press, 1958zbMATHGoogle Scholar
- [Ch]S.U. Chase, "Galois objects in Hopf Algebras and Galois Theory", Lecture Notes in Math. 97, Berlin-Heidelberg-New York: Springer, 1969.CrossRefzbMATHGoogle Scholar
- [DP]A. Dold and D. Puppe, Homologie nicht additiver Funktoren, Anwendungen, Ann. Inst. Fourier 11, 201–312 (1961).MathSciNetCrossRefzbMATHGoogle Scholar
- [Ge]M.Gerstenhaber, A categorical sitting for the Baer extension theory, in "Applications of Categorical Algebra", Proceedings of Symposia in Pure Mathematics, 17, Providence, Amer. Math. Soc. 50–64 (1970).Google Scholar
- [Ke]G.M. Kelly, Monomorphisms, epimorphisms and pullbacks, J. Australian Math. Soc. 9, 124–142 (1969).CrossRefzbMATHGoogle Scholar
- [LU]S. Lubkin, Imbedding of abelian categories, Trans. Amer. Math. Soc. 97, 410–417 (1960).MathSciNetCrossRefzbMATHGoogle Scholar
- [Mac]S. Mac Lane, "Homology", Berlin-Heidelberg-New York: Springer 1963.CrossRefzbMATHGoogle Scholar
- [Man]E. Manes, "A Triple Miscellany: Some Aspects of the Theory of Algebras over a Triple", dissertation, Wesleyan University, 1967.Google Scholar
- [Mi]B. Mitchell, "Theory of Categories", New York and London Academic Press, 1965.Google Scholar
- [Ul]F. Ulmer, Locally α-presentable and Locally α-generated categories, (Summary of joint work with P.Gabriel), in "Reports of the Midwest Category Seminar V," Lecture Notes in Math. 195, Berlin-Heidelberg-New York: Springer 1971.CrossRefGoogle Scholar
- [Ve]J-L. Verdier, Topologies et faisceaux, S.G.A.A., fasc. I, 1963–1964.Google Scholar
Copyright information
© Springer-Verlag 1971