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Baer addition of extensions.(English)Zbl 0164.01303


MSC:

18-XX Category theory; homological algebra

Cite

References:

[1]R.Baer, Erweiterung von Gruppen und ihren Isomorphismen, Math. Z.38, 375-416 (1934). ·JFM 60.0079.04 ·doi:10.1007/BF01170643
[2]H.-B.Brinkmann und D.Puppe, Kategorien und Funktoren, Springer Lecture Notes18 (1966).
[3]H.-B.Brinkmann, Equivalence of n-extensions, Arch. Math. (Basel),19 (1968), to appear.
[4]D.A.Buchsbaum, A note on homology in categories, Ann. Math.69, 66-74 (1959). ·Zbl 0084.26801 ·doi:10.2307/1970093
[5]D.A.Buchsbaum, Satellites and universal functors, Ann. Math.71, 199-209 (1960). ·Zbl 0095.16505 ·doi:10.2307/1970081
[6]B.Eckmann and P.Hilton, Grouplike structures in general categories I (Multiplications and comultiplications), Math. Ann.145, 227-255 (1962). ·Zbl 0099.02101 ·doi:10.1007/BF01451367
[7]S.Eilenberg and J.C.Moore, Adjoint functors and triples, Illinois J. Math.9, 381-398 (1965). ·Zbl 0135.02103
[8]F.W.Lawvere, Functorial semantics of algebraic theories, thésis, Columbia U. 1963. ·Zbl 0119.25901
[9]F.W.Lawvere, The category of categories as a foundation for Mathematics, Proc. Conf. Cat. Alg. (La Jolla 1965), 1-20, Springer 1966.
[10]S.MacLane, Homology, Springer 1963.
[11]B.Mitchell, Theory of categories, Academic Press 1967 (second printing). ·Zbl 0166.29201
[12]B.Mitchell, On the dimension of objects and categories I. Monoids, J. Algebra9, 314-340 (1968). ·Zbl 0164.01404 ·doi:10.1016/0021-8693(68)90028-8
[13]B.Mitchell, On the dimension of objects and categories II. Finite ordered sets, J. Algebra9, 341-369 (1968). ·Zbl 0164.01501 ·doi:10.1016/0021-8693(68)90029-X
[14]D.Puppe, Stabile Homotopietheorie I, Math. Ann.169, 243-274 (1967). ·Zbl 0146.18802 ·doi:10.1007/BF01362348
[15]N.Yoneda, On the homology theory of modules, J. Fac. Sci. Univ. Tokyo, Sec. I7, 193-227 (1954). ·Zbl 0058.01902
[16]N.Yoneda, On Ext and exact sequences, J. Fac. Sci. Univ. Tokyo, Sec. I8, 507-576 (1960). ·Zbl 0163.26902
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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