Injective Approximations
Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 378-382

Voir la notice de l'article provenant de la source Cambridge University Press

Let C be a cochain complex satisfying the condition that inj.dim. Hq(C) < ∞. Then we prove that C admits an injective approximation.
DOI : 10.4153/CMB-1986-059-6
Mots-clés : Cochain Complexes, injective approximations, 18G35, 55U15
Varadarajan, K. Injective Approximations. Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 378-382. doi: 10.4153/CMB-1986-059-6
@article{10_4153_CMB_1986_059_6,
     author = {Varadarajan, K.},
     title = {Injective {Approximations}},
     journal = {Canadian mathematical bulletin},
     pages = {378--382},
     year = {1986},
     volume = {29},
     number = {3},
     doi = {10.4153/CMB-1986-059-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-059-6/}
}
TY  - JOUR
AU  - Varadarajan, K.
TI  - Injective Approximations
JO  - Canadian mathematical bulletin
PY  - 1986
SP  - 378
EP  - 382
VL  - 29
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-059-6/
DO  - 10.4153/CMB-1986-059-6
ID  - 10_4153_CMB_1986_059_6
ER  - 
%0 Journal Article
%A Varadarajan, K.
%T Injective Approximations
%J Canadian mathematical bulletin
%D 1986
%P 378-382
%V 29
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-059-6/
%R 10.4153/CMB-1986-059-6
%F 10_4153_CMB_1986_059_6

[1] 1. Berstein, I., On the dimension of modules and algebras IX: Nagoya Math. J. 13 (1958) pp. 83 — 84. Google Scholar

[2] 2. Cartan, H. and Eilenberg, S., Homological Algebra; Princeton University Press, 1956. Google Scholar

[3] 3. Dold, A., Zur Homotopietheorie der Kettencomplexe; Math. Annalen 140 (1960) pp. 278 — 298. Google Scholar

[4] 4. Hartshorne, R., Residues and Duality: Springer Lecture Notes 20 (1966). Google Scholar

[5] 5. Varadarajan, K., Projective approximation; Canadian Journal of Math. 36 (1984) pp. 178–192. Google Scholar

[6] 6. Varadarajan, K., Projective and free approximations; Contemporary Mathematics, 37 (1985) pp. 153–161. Google Scholar

[7] 7. Varadarajan, K., Free approximations: To appear in “Questiones Mathematicae”. Google Scholar

Cité par Sources :