Degree spectra and computable dimensions in algebraic structures (Q1612482)

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scientific article; zbMATH DE number 1787753
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Degree spectra and computable dimensions in algebraic structures
scientific article; zbMATH DE number 1787753

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    Degree spectra and computable dimensions in algebraic structures (English)
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    22 August 2002
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    The authors suggest methods to define directed graphs in some classes of structures like symmetric, irreflexive graphs, partial orderings, lattices, rings, integral domains, commutative semigroups, 2-step nilpotent groups in a way that enables them to uniformly transfer to models of these classes a series of known computability-theoretic results on degree spectra, on the number of non-computably isomorphic presentations, etc.
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    computable structure
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    computable dimension
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    computable algebra
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    degree spectrum
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    nonstructure theorems
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    interpretation of structure
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    recursive model
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