Bulletin of the American Mathematical Society

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Book Information:

Author: Jan R. Strooker
Title: Introduction to categories, homological algebra and sheaf cohomology
Additional book information: Cambridge Univ. Press, Cambridge, Great Britain, 1978, ix + 246 PP.

Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480

Samuel Eilenberg and Saunders MacLane, General theory of natural equivalences, Trans. Amer. Math. Soc. 58 (1945), 231–294. MR 13131, DOI 10.1090/S0002-9947-1945-0013131-6

Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886

Peter Freyd, Abelian categories. An introduction to the theory of functors, Harper’s Series in Modern Mathematics, Harper & Row, Publishers, New York, 1964. MR 0166240

Nicolae Popesco and Pierre Gabriel, Caractérisation des catégories abéliennes avec générateurs et limites inductives exactes, C. R. Acad. Sci. Paris 258 (1964), 4188–4190 (French). MR 166241

Roger Godement, Topologie algébrique et théorie des faisceaux, Publications de l’Institut de Mathématique de l’Université de Strasbourg, XIII, Hermann, Paris, 1973 (French). Troisième édition revue et corrigée. MR 0345092

Peter John Hilton and Urs Stammbach, A course in homological algebra, Graduate Texts in Mathematics, Vol. 4, Springer-Verlag, New York-Berlin, 1971. MR 0346025

Daniel M. Kan, Adjoint functors, Trans. Amer. Math. Soc. 87 (1958), 294–329. MR 131451, DOI 10.1090/S0002-9947-1958-0131451-0

Joachim Lambek, Goursat’s theorem and homological algebra, Canad. Math. Bull. 7 (1964), 597–608. MR 174612, DOI 10.4153/CMB-1964-055-7

Joachim Lambek, Torsion theories, additive semantics, and rings of quotients, Lecture Notes in Mathematics, Vol. 177, Springer-Verlag, Berlin-New York, 1971. With an appendix by H. H. Storrer on torsion theories and dominant dimensions. MR 0284459

J. Lambek and B. A. Rattray, A general Stone-Gel′fand duality, Trans. Amer. Math. Soc. 248 (1979), no. 1, 1–35. MR 521691, DOI 10.1090/S0002-9947-1979-0521691-4

Joachim Lambek, Goursat’s theorem and homological algebra, Canad. Math. Bull. 7 (1964), 597–608. MR 174612, DOI 10.4153/CMB-1964-055-7

Saunders MacLane, Homology, 1st ed., Die Grundlehren der mathematischen Wissenschaften, Band 114, Springer-Verlag, Berlin-New York, 1967. MR 0349792

Saunders Mac Lane, Categories for the working mathematician, 2nd ed., Graduate Texts in Mathematics, vol. 5, Springer-Verlag, New York, 1998. MR 1712872

Barry Mitchell, Theory of categories, Pure and Applied Mathematics, Vol. XVII, Academic Press, New York-London, 1965. MR 0202787

N. Popescu, Abelian categories with applications to rings and modules, London Mathematical Society Monographs, No. 3, Academic Press, London-New York, 1973. MR 0340375

Dieter Puppe, Über die Axiome für abelsche Kategorien, Arch. Math. (Basel) 18 (1967), 217–222 (German). MR 222142, DOI 10.1007/BF01900624

Nobuo Yoneda, On the homology theory of modules, J. Fac. Sci. Univ. Tokyo Sect. I 7 (1954), 193–227. MR 68832

1.

H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, Princeton, N. J., 1956. MR 0077480

2.

S. Eilenberg and S. Mac Lane, General theory of natural equivalences, Trans. Amer. Math. Soc. 58 (1945), 231-294. MR 13131

3.

S. Eilenberg and M. Steenrod, Foundations of algebraic topology, Princeton Univ. Press, Princeton, N. J., 1952. MR 50886

4.

P. Freyd, Abelian categories. Harper and Row, New York, 1964. MR 166240

5.

P. Gabriel and N. Popescu, Caractérisation des catégories abéliennes avec générateurs et limites inductives exactes, C. R. Acad. Sci. Paris, Sér. A 258 (1964), 4188-4191. MR 166241

6.

R. Godement, Topologie algébrique et théorie des faisceaux, Hermann, Paris, 1964. MR 345092

7.

P. J. Hilton and U. Stammbach, A course in homological algebra, Springer-Verlag, Berlin and New York, 1971. MR 346025

8.

D. M. Kan, Adjoint functors, Trans. Amer. Math. Soc. 87 (1958), 294-329. MR 131451

9.

J. Lambek, Goursat's theorem and homological algebra, Canad. Math. Bull. 7 (1964), 597-608. MR 174612

10.

J. Lambek, Torsion theories, additive semantics and rings of quotients, Lecture Notes in Math., vol. 177, Springer-Verlag, Berlin and New York, 1971. MR 284459

11.

J. Lambek and B. A. Rattray, A general Stone-Gelfand duality, Trans. Amer. Math. Soc. 248 (1979), 1-35. MR 521691

12.

J. B. Leicht, Axiomatic proof of J. Lambek's homological theorem, Canad. Math. Bull. 7 (1964), 609-613. MR 174613

13.

S. Mac Lane, Homology, Die Grundlehren der Mathematischen Wissenschaften, Band 114, Springer-Verlag, Berlin and New York, 1963. MR 349792

14.

S. Mac Lane, Categories for the working mathematician, Springer-Verlag, Berlin and New York, 1971. MR 1712872

15.

B. Mitchell, Theory of categories, Academic Press, New York, 1965. MR 202787

16.

N. Popescu, Abelian categories with applications to rings and modules, Academic Press, London and New York, 1973. MR 340375

17.

D. Puppe, Über die Axiome für abelsche Kategorien, Arch. Math. (Basel) 18 (1967), 217-222. MR 222142

18.

N. Yoneda, On the homology of modules, J. Fac. Sci. Tokyo I 7 (1954), 193-227. MR 68832