Geodesic
Constructivizability of the Boolean algebra $\mathfrak B(\omega)$ with a distinguished automorphism
Algebra i logika, Tome 51 (2012) no. 5, pp. 579-607

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

A constructivizability criterion for the Boolean algebra $\mathfrak B(\omega)$ with a distinguished ideal is given. As a consequence of the criterion, combined with a result due to I. Kalimullin, B. Khoussainov, and A. Melnikov, we construct a Boolean algebra with a distinguished ideal whose degree spectrum contains every nonzero Turing $\Delta^0_2$-degree but does not contain $0$.
Keywords: Boolean algebra with distinguished automorphism, constructivizability, degree spectra of structures. 
@article{AL_2012_51_5_a1,
     author = {N. A. Bazhenov and R. R. Tukhbatullina},
     title = {Constructivizability of the {Boolean} algebra $\mathfrak B(\omega)$ with a~distinguished automorphism},
     journal = {Algebra i logika},
     pages = {579--607},
     publisher = {mathdoc},
     volume = {51},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2012_51_5_a1/}
}
TY  - JOUR
AU  - N. A. Bazhenov
AU  - R. R. Tukhbatullina
TI  - Constructivizability of the Boolean algebra $\mathfrak B(\omega)$ with a distinguished automorphism
JO  - Algebra i logika
PY  - 2012
SP  - 579
EP  - 607
VL  - 51
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2012_51_5_a1/
LA  - ru
ID  - AL_2012_51_5_a1
ER  - 
%0 Journal Article
%A N. A. Bazhenov
%A R. R. Tukhbatullina
%T Constructivizability of the Boolean algebra $\mathfrak B(\omega)$ with a distinguished automorphism
%J Algebra i logika
%D 2012
%P 579-607
%V 51
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2012_51_5_a1/
%G ru
%F AL_2012_51_5_a1
N. A. Bazhenov; R. R. Tukhbatullina. Constructivizability of the Boolean algebra $\mathfrak B(\omega)$ with a distinguished automorphism. Algebra i logika, Tome 51 (2012) no. 5, pp. 579-607. http://geodesic.mathdoc.fr/item/AL_2012_51_5_a1/