\(\Sigma \)-bounded algebraic systems and universal functions. I

DOI10.1007/S11202-010-0019-2zbMath1208.03048OpenAlexW1969350996MaRDI QIDQ606011

A. N. Khisamiev

Publication date: 15 November 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0019-2

zbMATH Keywords

admissible setcomputabilitylinear orderuniversal \(\Sigma\)-function\(\Sigma\)-definability\(\Sigma\)-bounded algebraic system

Mathematics Subject Classification ID

Computability and recursion theory on ordinals, admissible sets, etc. (03D60)

Related Items (10)

\(\Sigma\)-bounded algebraic systems and universal functions. II ⋮ Universal functions over trees ⋮ Universal functions and \(K \Sigma \)-structures ⋮ Universal functions and unbounded branching trees ⋮ Universal functions and almost \(c\)-simple models ⋮ Universal functions and \(\Sigma_\omega \)-bounded structures ⋮ \(\Sigma \)-uniform structures and \(\Sigma \)-functions. I ⋮ On a universal \(\Sigma \)-function over a tree ⋮ A class of almost \(c\)-simple rings ⋮ On universal functions in hereditarily finite superstructures

Cites Work

• A universal recursive function on admissible sets
• S-Subsets of Natural Numbers
• Unnamed Item
• Unnamed Item

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