Geodesic
On $\Delta^0_2$-Categoricity of Boolean Algebras
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 2, pp. 3-14

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We prove that the notions of $\Delta^0_2$-categoricity and relative $\Delta^0_2$-categoricity in Boolean algebras coincide. As a corollary, we obtain that for every Turing degree $\mathbf{d}\mathbf{0}'$ a computable Boolean algebra is $\mathbf{d}$-computably categorical if and only if it is computably categorical.
Keywords: Boolean algebra, $\Delta^{0}_{2}$-categoricity, computable categoricity. 
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     author = {N. A. Bazhenov},
     title = {On $\Delta^0_2${-Categoricity} of {Boolean} {Algebras}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {3--14},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2013_13_2_a0/}
}
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N. A. Bazhenov. On $\Delta^0_2$-Categoricity of Boolean Algebras. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 2, pp. 3-14. http://geodesic.mathdoc.fr/item/VNGU_2013_13_2_a0/