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Injective Approximations

Published online by Cambridge University Press:  20 November 2018

K. Varadarajan
K. Varadarajan*
Affiliation:
The University of Calgary Calgary, Alberta, Canada T2N 1N4 Forschungsinstitut für Mathematik Eth, Zurich
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Abstract

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Let C be a cochain complex satisfying the condition that inj.dim. Hq(C) < ∞. Then we prove that C admits an injective approximation.

Keywords

Cochain Complexesinjective approximations18G3555U15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 3 , 01 September 1986 , pp. 378 - 382
Copyright
Copyright © Canadian Mathematical Society 1986

References

1. Berstein, I., On the dimension of modules and algebras IX: Nagoya Math. J. 13 (1958) pp. 83 — 84.Google Scholar
2. Cartan, H. and Eilenberg, S., Homological Algebra; Princeton University Press, 1956.Google Scholar
3. Dold, A., Zur Homotopietheorie der Kettencomplexe; Math. Annalen 140 (1960) pp. 278 — 298.Google Scholar
4. Hartshorne, R., Residues and Duality: Springer Lecture Notes 20 (1966).Google Scholar
5. Varadarajan, K., Projective approximation; Canadian Journal of Math. 36 (1984) pp. 178–192.Google Scholar
6. Varadarajan, K., Projective and free approximations; Contemporary Mathematics, 37 (1985) pp. 153–161.Google Scholar
7. Varadarajan, K., Free approximations: To appear in “Questiones Mathematicae”.Google Scholar