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Homology and Ringoids. III

Published online by Cambridge University Press:  24 October 2008

Extract

The ringoids discussed in the preceding paper of this series(3) are characterized by two axioms which permit the operations of an exact category to be carried out within the structure of the ringoid. These operations do not in general include the formation of direct sums or products, for which new axioms are required. For a finite number of constituents these axioms are equivalent to the corresponding axiom in Buchsbaum's paper(1).

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1960

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References

REFERENCES

(1)Buchsbaum, D. A.Exact categories and duality. Trans. Amer. Math. Soc. 80 (1955), 1.Google Scholar
(2)Grothendieck, A.Sur quelques points d'algèbre homologique. Tohoku Math. J. 9 (1957), 119.Google Scholar
(3)Hilton, P. J. and Ledermann, W.Homology and ringoids. II. Proc. Camb. Phil. Soc. 55 (1959), 149.CrossRefGoogle Scholar
(4)Kan, D. M.Adjoint functors. Trans. Amer. Math. Soc. 87 (1958), 294.Google Scholar