On projective and injective objects of the categories dual to $\mathfrak{AB}$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 168-182 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The categories are considered dual to the category of abelian groups (including the category of compact abelian groups). In those categories the structure theorems on injective and projective objects are proved; some projective covers are calculated. In the category of compact abelian groups the notion of connective hull is introduced; some results on connective hulls are received; the examples are given.
@article{ZNSL_2005_321_a6,
     author = {M. B. Zvyagina},
     title = {On projective and injective objects of the categories dual to~$\mathfrak{AB}$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {168--182},
     year = {2005},
     volume = {321},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a6/}
}
TY  - JOUR
AU  - M. B. Zvyagina
TI  - On projective and injective objects of the categories dual to $\mathfrak{AB}$
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2005
SP  - 168
EP  - 182
VL  - 321
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a6/
LA  - ru
ID  - ZNSL_2005_321_a6
ER  - 
%0 Journal Article
%A M. B. Zvyagina
%T On projective and injective objects of the categories dual to $\mathfrak{AB}$
%J Zapiski Nauchnykh Seminarov POMI
%D 2005
%P 168-182
%V 321
%U http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a6/
%G ru
%F ZNSL_2005_321_a6
M. B. Zvyagina. On projective and injective objects of the categories dual to $\mathfrak{AB}$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 168-182. http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a6/

[1] M. B. Zvyagina, “Nepreryvnye funktory i dvoistvennost”, Zap. nauchn. semin. POMI, 281, 2001, 186–209 | MR | Zbl

[2] A. Kartan, S. Eilenberg, Gomologicheskaya algebra, IL, M., 1960

[3] E. Khyuitt, K. Ross, Abstraktnyi garmonicheskii analiz, t. 1, Nauka, M., 1975

[4] L. S. Pontryagin, Nepreryvnye gruppy, Nauka, M., 1973 | MR | Zbl

[5] N. Stinrod, S. Eilenberg, Osnovaniya algebraicheskoi topologii, F.-M.L., M., 1958

[6] E. Enochs, “Torsion free covering modules”, Proc. AMS, 14 (1963), 884–889 | DOI | MR | Zbl

[7] L. Bican, R. El Bashir, E. Enochs, “All modules have flat covers”, Bull. Lond. M. Soc., 33:163 (2001), 385–390, pt 4 | DOI | MR | Zbl