Geodesic
Degrees of autostability for linear orderings and linearly ordered Abelian groups
Algebra i logika, Tome 55 (2016) no. 4, pp. 393-418

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

It is proved that every computable ordinal has a degree of autostability. We construct new examples of degrees of autostability in the class of linear orderings and in the class of linearly ordered Abelian groups.
Keywords: autostability, computable categoricity, index set, linear ordering, autostability spectrum, categoricity spectrum, degree of autostability, degree of categoricity, ordered Abelian group. 
@article{AL_2016_55_4_a0,
     author = {N. A. Bazhenov},
     title = {Degrees of autostability for linear orderings and linearly ordered {Abelian} groups},
     journal = {Algebra i logika},
     pages = {393--418},
     publisher = {mathdoc},
     volume = {55},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2016_55_4_a0/}
}
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N. A. Bazhenov. Degrees of autostability for linear orderings and linearly ordered Abelian groups. Algebra i logika, Tome 55 (2016) no. 4, pp. 393-418. http://geodesic.mathdoc.fr/item/AL_2016_55_4_a0/