Geodesic
Decomposability and computability
Algebra i logika, Tome 61 (2022) no. 2, pp. 220-229

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

We present a new construction of indecomposable type $\mathbf{0}$ Abelian groups of rank $2$. The new construction is used to study degree spectra of such groups. As a corollary, we obtain a new computability-theoretic proof showing that there exist continuum many nonisomorphic type $\mathbf{0}$ indecomposable Abelian groups of rank $2$.
Keywords: indecomposable type $\mathbf{0}$ Abelian groups of rank $2$. 
@article{AL_2022_61_2_a4,
     author = {B. Khoussainov and A. G. Melnikov},
     title = {Decomposability and computability},
     journal = {Algebra i logika},
     pages = {220--229},
     publisher = {mathdoc},
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     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2022_61_2_a4/}
}
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B. Khoussainov; A. G. Melnikov. Decomposability and computability. Algebra i logika, Tome 61 (2022) no. 2, pp. 220-229. http://geodesic.mathdoc.fr/item/AL_2022_61_2_a4/