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

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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},
     publisher = {mathdoc},
     volume = {321},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a6/}
}
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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/