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Recursively categorical linear orderings. (English) Zbl 0493.03022

MSC:
03D45 Theory of numerations, effectively presented structures
06A05 Total orders
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[1] C. J. Ash and A. Nerode, Intrinsically recursive relations, Aspects of effective algebra (Clayton, 1979) Upside Down A Book Co., Yarra Glen, Vic., 1981, pp. 26 – 41. · Zbl 0467.03041
[2] S. S. Gončarov, Certain properties of the constructivization of Boolean algebras, Sibirsk. Mat. Ž. 16 (1975), 264 – 278, 420. (loose errata) (Russian).
[3] A. I. Mal\(^{\prime}\)cev, On recursive Abelian groups, Dokl. Akad. Nauk SSSR 146 (1962), 1009 – 1012 (Russian).
[4] A. B. Manaster and J. B. Remmel, Recursively categorical decidable dense two dimensional partial orderings (to appear). · Zbl 0486.03010
[5] P. E. LaRoche, Recursively presented Boolean algebras, Notices Amer. Math. Soc. 24 (1977), A-552.
[6] A. T. Nurtazin, Strong and weak constructivizations and computable families, Algebra and Logic 13 (1975), 177-184. · Zbl 0305.02061
[7] J. B. Remmel, Recursive isomorphisms of recursive Boolean algebras, J. Symbolic Logic (to appear). · Zbl 0543.03031
[8] -, Recursive Boolean algebras with recursive sets of atoms, J. Symbolic Logic (to appear). · Zbl 0543.03032
[9] -, Recursive isomorphisms of recursive Boolean algebras and atomic elements (in preparation).
[10] R. L. Smith, Two theorems on autostability in \( p\)-groups (Proc. Conf. Math. Logic, Univ. Connecticut), Lecture Notes in Math, (to appear). · Zbl 0488.03024
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