Spectra of algebraic fields and subfields

dc.contributor.author	Frolov A.
dc.contributor.author	Kalimullin I.
dc.contributor.author	Miller R.
dc.date.accessioned	2018-09-18T20:08:19Z
dc.date.available	2018-09-18T20:08:19Z
dc.date.issued	2009
dc.identifier.issn	0302-9743
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/136882
dc.description.abstract	An algebraic field extension of ℚ or ℤ/(p) may be regarded either as a structure in its own right, or as a subfield of its algebraic closure F (either ℚ or ℤ/(p)). We consider the Turing degree spectrum of F in both cases, as a structure and as a relation on F, and characterize the sets of Turing degrees that are realized as such spectra. The results show a connection between enumerability in the structure F and computability when F is seen as a subfield of F. © 2009 Springer Berlin Heidelberg.
dc.relation.ispartofseries	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
dc.subject	Algebraic
dc.subject	Computability
dc.subject	Computable model theory
dc.subject	Field
dc.subject	Spectrum
dc.title	Spectra of algebraic fields and subfields
dc.type	Conference Paper
dc.relation.ispartofseries-volume	5635 LNCS
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	232
dc.source.id	SCOPUS03029743-2009-5635-SID76249102074

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.