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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 444–450
(Mi semr499)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematical logic, algebra and number theory
On quasiregular structures with computable signatures
A. I. Stukachevab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Abstract:
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.
Received December 18, 2013, published June 4, 2014
Citation:
A. I. Stukachev, “On quasiregular structures with computable signatures”, Sib. Èlektron. Mat. Izv., 11 (2014), 444–450
Linking options:
https://www.mathnet.ru/eng/semr499 https://www.mathnet.ru/eng/semr/v11/p444
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Abstract page: | 265 | Full-text PDF : | 55 | References: | 50 |
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