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This article is cited in 1 scientific paper (total in 1 paper)
Quasivarieties and $q$-Compact Classes of Abelian Groups
V. N. Remeslennikov, N. S. Romanovskiia a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
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, $q$-compact class, quasivariety.
Received: 20.07.2000
Citation:
V. N. Remeslennikov, N. S. Romanovskii, “Quasivarieties and $q$-Compact Classes of Abelian Groups”, Algebra Logika, 40:6 (2001), 675–684; Algebra and Logic, 40:6 (2001), 378–383
Linking options:
https://www.mathnet.ru/eng/al241 https://www.mathnet.ru/eng/al/v40/i6/p675
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Abstract page: | 306 | Full-text PDF : | 99 | First page: | 1 |
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