Geodesic
Quasivarieties and $q$-Compact Classes of Abelian Groups
Algebra i logika, Tome 40 (2001) no. 6, pp. 675-684.

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For the purposes of algebraic geometry, we need to consider a category of Abelian $A$-groups, that is, those Abelian groups that contain as a subgroup the distinguished copy of an Abelian group $A$. Namely, we deal with the problem of describing $q$-compact classes within a given class of algebraic systems. This problem is solved first for classes of Abelian groups (without constants), and then for the case where a class of $A$-groups consists of the group $A$ itself. We also succeed in obtaining an adequate description of a system of axioms for $A-\operatorname{qvar}(B)$.
Keywords: Abelian group, quasivariety.
Mots-clés : $q$-compact class 
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     author = {V. N. Remeslennikov and N. S. Romanovskii},
     title = {Quasivarieties and $q${-Compact} {Classes} of {Abelian} {Groups}},
     journal = {Algebra i logika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2001_40_6_a2/}
}
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V. N. Remeslennikov; N. S. Romanovskii. Quasivarieties and $q$-Compact Classes of Abelian Groups. Algebra i logika, Tome 40 (2001) no. 6, pp. 675-684. http://geodesic.mathdoc.fr/item/AL_2001_40_6_a2/