On quasiregular structures with computable signatures
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 444-450
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We extend the notion of HF-superstructure from the case of structures with finite signatures to the case of structures with computable signatures. It is shown that such expansions preserve some known properties of HF-superstructures. Namely, we prove that the property of quasiregularity of a structure is sufficient for qausiresolvability of the corresponding HF-superstructure.
Keywords:
computability, computable structures, admissible sets, HF-superstructures.
@article{SEMR_2014_11_a14,
author = {A. I. Stukachev},
title = {On quasiregular structures with computable signatures},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {444--450},
publisher = {mathdoc},
volume = {11},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a14/}
}
A. I. Stukachev. On quasiregular structures with computable signatures. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 444-450. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a14/