Geodesic
Canonical and algebraically closed groups in universal
Algebra i logika, Tome 58 (2019) no. 3, pp. 344-362

Voir la notice de l'article provenant de la source Math-Net.Ru

Using sets of finitely generated Abelian groups closed under the discrimination operator, we describe principal universal classes ${\mathcal{K}}$ within a quasivariety ${\mathfrak{A}}_p$, the class of groups whose periodic part is a $p$-group for a prime $p$. Also the concept of an algebraically closed group in ${\mathcal{K}}$ is introduced, and such groups are classified.
Keywords: Abelian group, universal class, canonical group, discriminability of classes of groups, ${\mathcal{K}}$-algebraically closed groups, ladder vector.
Mots-clés : principal universal class 
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     author = {A. A. Mishchenko and V. N. Remeslennikov and A. V. Treyer},
     title = {Canonical and algebraically closed groups in universal},
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     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2019_58_3_a3/}
}
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A. A. Mishchenko; V. N. Remeslennikov; A. V. Treyer. Canonical and algebraically closed groups in universal. Algebra i logika, Tome 58 (2019) no. 3, pp. 344-362. http://geodesic.mathdoc.fr/item/AL_2019_58_3_a3/